{"type":"doc","content":[{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Vectors and Their Components"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Introduction to Scalars and Vectors"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"In physics, quantities are classified as either "},{"type":"text","marks":[{"type":"bold"}],"text":"scalars"},{"type":"text","text":" or "},{"type":"text","marks":[{"type":"bold"}],"text":"vectors"},{"type":"text","text":". Scalars have only magnitude, while vectors possess both magnitude and direction. Understanding this distinction is fundamental for analyzing physical phenomena."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Scalar quantities:"},{"type":"text","text":" Examples include time, temperature, energy, and mass. Operations with scalars use ordinary algebra."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Vector quantities:"},{"type":"text","text":" Examples include position, velocity, and acceleration. Vector operations differ from scalar operations and require special rules."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Displacement vector:"},{"type":"text","text":" Represents the change in position from point A to B, independent of the path taken."}]}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Vector Components and Unit Vectors"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Vectors can be broken down into components along coordinate axes. "},{"type":"text","marks":[{"type":"bold"}],"text":"Unit vectors"},{"type":"text","text":" are used to indicate direction and have a magnitude of 1."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Vector components:"},{"type":"text","text":" The projection of a vector along an axis, which can be positive or negative."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Unit vectors:"},{"type":"text","text":" In 3D, commonly denoted as \\( \\hat{i} \\), \\( \\hat{j} \\), and \\( \\hat{k} \\) for the x, y, and z axes respectively."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Obtaining components:"},{"type":"text","text":" In 2D, the x and y components are found using trigonometric functions."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_4.png","alt":"Vector components in 2D","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_5.png","alt":"Unit vectors along axes","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Calculating Vector Components"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Given a vector \\( \\vec{b} \\) with magnitude \\( b \\) and angle \\( \\theta \\) from the positive x-axis:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"x-component:"},{"type":"text","text":" \\( b_x = b \\cos \\theta \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"y-component:"},{"type":"text","text":" \\( b_y = b \\sin \\theta \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Magnitude:"},{"type":"text","text":" \\( b = \\sqrt{b_x^2 + b_y^2} \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Angle:"},{"type":"text","text":" \\( \\theta = \\tan^{-1} \\left( \\frac{b_y}{b_x} \\right) \\)"}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_6.png","alt":"Vector components in 2D","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_7.png","alt":"Vector components in 2D","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Trigonometric Functions in Vector Analysis"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Trigonometric functions are essential for resolving vectors into components."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\sin \\theta = \\frac{\\text{opposite}}{\\text{hypotenuse}} \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\cos \\theta = \\frac{\\text{adjacent}}{\\text{hypotenuse}} \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\tan \\theta = \\frac{\\text{opposite}}{\\text{adjacent}} \\)"}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_8.png","alt":"Trigonometric functions and triangle","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Coordinate Systems and Vector Representation"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"The magnitude and direction of a vector are independent of the coordinate system. Rotating or modifying the coordinate system does not affect the vector itself, only its representation."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"In 3D, a vector is fully described by its components: \\( (a_x, a_y, a_z) \\)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Unit vectors \\( \\hat{i}, \\hat{j}, \\hat{k} \\) are used for x, y, and z directions."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_9.png","alt":"Combining vector components","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Adding and Subtracting Vectors"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Vector Addition and Subtraction"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Vectors can be added or subtracted graphically or algebraically. The "},{"type":"text","marks":[{"type":"bold"}],"text":"net vector"},{"type":"text","text":" is the result of combining multiple vectors."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Graphical addition:"},{"type":"text","text":" Place vectors head-to-tail; the resultant vector is drawn from the tail of the first to the head of the last."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Commutative property:"},{"type":"text","text":" \\( \\vec{a} + \\vec{b} = \\vec{b} + \\vec{a} \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Associative property:"},{"type":"text","text":" \\( (\\vec{a} + \\vec{b}) + \\vec{c} = \\vec{a} + (\\vec{b} + \\vec{c}) \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Subtraction:"},{"type":"text","text":" Subtracting a vector is equivalent to adding its negative."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_13.png","alt":"Vector addition head-to-tail","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_14.png","alt":"Commutative property of vector addition","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_15.png","alt":"Associative property of vector addition","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_16.png","alt":"Negative vector direction","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_17.png","alt":"Vector subtraction","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Rules for Vector Addition"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Only vectors of the same physical quantity can be added. Vector addition and subtraction are performed component-wise."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Example: Displacement vectors can be added, but displacement and velocity cannot."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Component addition: \\( \\vec{a} + \\vec{b} = (a_x + b_x)\\hat{i} + (a_y + b_y)\\hat{j} + (a_z + b_z)\\hat{k} \\)"}]}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Products of Vectors"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Scalar Multiplication"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Multiplying a vector by a scalar changes its magnitude but not its direction (unless the scalar is negative, which reverses the direction)."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\vec{v} \\times c \\) results in a vector with magnitude \\( |\\vec{v}| \\times |c| \\) and direction parallel or antiparallel to \\( \\vec{v} \\)."}]}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Dot Product (Scalar Product)"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"The "},{"type":"text","marks":[{"type":"bold"}],"text":"dot product"},{"type":"text","text":" of two vectors yields a scalar and is defined as:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\vec{a} \\cdot \\vec{b} = |\\vec{a}| |\\vec{b}| \\cos \\theta \\), where \\( \\theta \\) is the angle between the vectors."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Component-wise: \\( \\vec{a} \\cdot \\vec{b} = a_x b_x + a_y b_y + a_z b_z \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Commutative property applies: \\( \\vec{a} \\cdot \\vec{b} = \\vec{b} \\cdot \\vec{a} \\)"}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_22.png","alt":"Dot product and angle","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Cross Product (Vector Product)"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"The "},{"type":"text","marks":[{"type":"bold"}],"text":"cross product"},{"type":"text","text":" of two vectors yields a new vector perpendicular to the plane containing the original vectors."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\\( \\vec{a} \\times \\vec{b} = |\\vec{a}| |\\vec{b}| \\sin \\theta \\, \\hat{n} \\), where \\( \\hat{n} \\) is the unit vector perpendicular to both \\( \\vec{a} \\) and \\( \\vec{b} \\)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Component-wise (in 3D): Use the determinant method."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Cross product is not commutative: \\( \\vec{a} \\times \\vec{b} = - (\\vec{b} \\times \\vec{a}) \\)"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Direction is determined by the right-hand rule."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_24.png","alt":"Right hand rule for cross product","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/physics/sub_images/7afdcf45_image_25.png","alt":"Right hand rule for cross product","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Motion in One Dimension (Kinematics)"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Position, Displacement, Velocity, and Acceleration"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"data:image/png;base64,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