Write v in the form ai + bj + ck; that is, find its position vector.

Question

The vector v has initial point P and terminal point Q.Write v in the form ai + bj + ck; that is, find its position vector.

P = (3, 2, - 1);       Q = (5, 6, 0)

Answer 1

Step 1 :

If the initial point is and the terminal point is , then

the position vector is

Step 2 :

The points are and .

The position vector is

Substitute the points  and

in above equation.

The position vector is

Solution :

The position vector is