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Geometric Vectors definitions

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  • Vector
    Quantity represented by an arrow, possessing both magnitude and direction, used to describe movement or force.
  • Magnitude
    Length of an arrow, indicating the size or amount of a quantity, independent of its direction.
  • Direction
    Orientation of an arrow, determined by its angle, specifying where a quantity is headed.
  • Initial Point
    Starting location of an arrow, marking where a quantity begins in space.
  • Terminal Point
    Ending location of an arrow, marking where a quantity finishes in space.
  • Zero Vector
    Arrow with no length and no orientation, representing absence of movement or force.
  • Negative Vector
    Arrow with same length as its counterpart but pointing in the opposite orientation.
  • Tip-to-Tail Method
    Visual technique for combining arrows by connecting the end of one to the start of another.
  • Resultant Vector
    Arrow drawn from the start of the first to the end of the last in a sequence, representing combined effect.
  • Scalar
    Numerical value with size but no orientation, used to stretch or shrink arrows.
  • Scalar Multiplication
    Operation that changes the length of an arrow and may reverse its orientation if the value is negative.
  • Vector Addition
    Process of combining two arrows to form a new arrow, with order not affecting the outcome.
  • Vector Subtraction
    Process of combining an arrow with the opposite of another, where order changes the result.