Question

If the initial point of a vector V is (-1,2) and the terminal point of vector V is (-4,5) then the component form of the vector is

Answer 1

The components form of the vector is:

V = [-3,3]

Explanation:

The initial point is V(i) = (-1,2) and the final point V(f) = (-4,5). If we want to get the components form, we just need to subtract each component of the points.

a = -4-(-1) = -4+1 = -3

b = 5-2 = 5-2 = 3

a represents the x-componet and b the y-component of the vector.

Therefore, the components form of the vector is:

V = [a,b]

V = [-3,3]

I hope it helps you!