Question

Express the vector v with initial point p and terminal point q in component form. p(−6, −2), q(−1, −1)

Answer 1

To express the vector v with initial point p(-6, -2) and terminal point q(-1, -1) in component form, subtract the x-coordinate of p from the x-coordinate of q to find the x-component of the vector, and subtract the y-coordinate of p from the y-coordinate of q to find the y-component. The vector v can be expressed in component form as v(5, 1).

Step-by-step explanation:

To express the vector v with initial point p(-6, -2) and terminal point q(-1, -1) in component form, we can subtract the x-coordinate of p from the x-coordinate of q to find the x-component of the vector, and subtract the y-coordinate of p from the y-coordinate of q to find the y-component.

So, the x-component is (-1) - (-6) = 5, and the y-component is (-1) - (-2) = 1.

Therefore, the vector v can be expressed in component form as v(5, 1).