Find the component form of the vector originating from 3, −1 with terminal point at −5, 6
Question
Find the component form of the vector originating from (3, −1) with terminal point at (−5, 6)
Solution
To find the component form of the vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point.
The initial point is (3, -1) and the terminal point is (-5, 6).
For the x-component, subtract the x-coordinate of the initial point from the x-coordinate of the terminal point: -5 - 3 = -8.
For the y-component, subtract the y-coordinate of the initial point from the y-coordinate of the terminal point: 6 - (-1) = 7.
So, the component form of the vector is (-8, 7).
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