Question

a vector w has initial point (0,0) and terminal point (-5,-2) write w in the form w=ai+bj

Answer 1

The initial point is (0,0) and the terminal point (-5,-2).

First, graph the points:

Lets say that A= (0,0) and B = (-5,-2)

So my vector w= line(AB)

Use the component form

Replace the values <-5-0, -2-0>

Then <-5,-2>

In the form w=ai+bj

w = -5i -2j

Looking at the graph we have -2 on the y-axis and -5 on the x-axis.