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Express the vector with initial point P and terminal point Q in component form. P(-8,-6), Q(-1,-1)

User Bramble
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Final answer:

To express the vector with initial point P(-8,-6) and terminal point Q(-1,-1) in component form, subtract the x-coordinate of P from the x-coordinate of Q to get the x-component, and subtract the y-coordinate of P from the y-coordinate of Q to get the y-component. The vector PQ in component form is (7, 5).

Step-by-step explanation:

To express the vector with initial point P(-8,-6) and terminal point Q(-1,-1) in component form, we need to find the difference between the x-coordinates and the difference between the y-coordinates of the two points. Subtracting the x-coordinate of P from the x-coordinate of Q gives us the x-component, and subtracting the y-coordinate of P from the y-coordinate of Q gives us the y-component.

x-component: -1 - (-8) = 7

y-component: -1 - (-6) = 5

Therefore, the vector PQ in component form is (7, 5).

User Nicolas Payart
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