find the vector in r^3 from the point

Question

find the vector in r^3 from the point A=(x,y,z) to B=(2,-8,1)

Answer 1

To find a vector connecting two points, you can subtract the coordinate values of the starting point from the coordinate values of the ending point.

In this case, since we are moving from the point A to the point B, we will subtract the coordinate values of A from the coordinate values of B, like so

A = (x,y,z)

B = (2,-8,1)

<2-x, -8-y, 1-z>