Component Form of a Vector

Definition: The component form of a vector is given as <x,y>, where x describes how far right or left a vector is going and y describes how far up or down a vector is going.

Given a vector’s initial point (where it starts), (x₁, y₁), and terminal point (where it ends), (x₂, y₂) the component form can be found by: <x₂ – x₁, y₂ – y₁>

Example: Describe the movement of vector b, <2, -3>

Solution:

Observe the x and y values to determine the movement of this vector.
If vector b = <2, -3>, this means that, from its starting point, vector b goes right 2 units and down 3 units.

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