Question

given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the standard unit vector i and j.

Answer 1

v=3i+8j

Explanation:

The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).

To find the components of vector v, we subtract the terminal points from the initial point to obtain.

v=<1,2>-<-2,-6>

v=<1--2,2--6>

v=<1+2,2+6>

v=<3,8>

As a linear combination of the standard unit vectors.

v=3i+8j