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).