3. Vectors

Vector Composition & Decomposition

Vector Components- Samples (Physics)

Vector Component

 <img src="https://media.pearsoncmg.com/aw/aw_knight_physics_5/msa/content/practice-test/img/p03_26_figure.jpg" class="block" alt="Two vectors begin at the origin of a tilted coordinate system."> The figure shows vectors <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover></mrow></math> and <math display="inline"><mrow><mover accent='true'><mi>B</mi><mo>&#x21C0;</mo></mover></mrow></math>. What are the x and y components of <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover></mrow></math>? 

Anderson Video - Vector Components

Calculating Magnitude & Components of a Vector

Vector Components | Physics with Professor Matt Anderson | M3-03

Breaking down vectors into components | Vectors | Precalculus | Khan Academy

 A toy gun shoots a plastic ball <math display="inline"><mrow><mn>10</mn><mo rspace="thickmathspace">&#x2062;</mo><mrow><mi mathvariant="normal" class="MathML-Unit">m</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></mrow></math> at an angle of 25° above the horizontal. What is the vertical component of the ball's velocity when it left the gun? 

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of (b) A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch. (Image)

 If the vector <math display="inline"><mrow><mover accent='true'><mi>E</mi><mo>&#x21C0;</mo></mover></mrow></math> shown in the figure has components <math display="inline"><mrow><msub><mi>E</mi><mi>x</mi></msub><mo>=</mo><mn>3.0</mn></mrow></math> and <math display="inline"><mrow><msub><mi>E</mi><mi>y</mi></msub><mo>&#x2212;</mo><mn>1.3</mn></mrow></math>, what is &#x3b8;? <img src="https://media.pearsoncmg.com/aw/aw_knight_physics_5/msa/content/practice-test/img/ex03_03_figure.jpg" class="block" alt="Vector E falls from the origin into quadrant 4. It is at angle phi to the x-axis, and angle theta to the y-axis."> 

Vector components on a grid

Vector Components Introduction

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.60 cm, Ay = 5.20 cm:

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