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Vectors in Component Form definitions

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  • Vector
    Arrow-like quantity with direction and magnitude, often represented by numbers showing movement in space.
  • Position Vector
    Representation with initial point at the origin, showing movement from (0,0) to a specific location.
  • Component Form
    Ordered pair indicating movement in x and y directions, written as (x, y) for clarity and calculation.
  • Initial Point
    Starting location of a vector, used to determine direction and calculate components.
  • Terminal Point
    Ending location of a vector, essential for finding component values and direction.
  • Magnitude
    Numerical value representing the total length of a vector, calculated using its components.
  • Pythagorean Theorem
    Formula relating the sides of a right triangle, used to compute vector length from components.
  • Resultant Vector
    Outcome from combining two or more vectors, showing overall movement or effect.
  • Scalar
    Single number used to scale a vector, affecting its length but not its direction.
  • Tip to Tail Method
    Visual technique for combining vectors by connecting the end of one to the start of another.
  • x Component
    Numerical value indicating movement along the horizontal axis in vector representation.
  • y Component
    Numerical value indicating movement along the vertical axis in vector representation.
  • Vector Addition
    Process of combining vectors by summing their corresponding components for a new vector.
  • Vector Subtraction
    Process of finding the difference between vectors by subtracting their corresponding components.
  • Scalar Multiplication
    Operation where each component of a vector is multiplied by a constant, changing its size.