Question

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors That is, write v in the form v = ai + bj.

P1 = (−5, −2), P2 = (4, 1) and v = ?

Answer 1

v=9i+3j

Explanation:

The given vector, v has initial point at P1 = (−5, −2) and terminal point at P2 = (4, 1).

The vector v is found by subtraction the initial point from the terminal point.

v=<4,1>-<-5,-2>

v=<4--5,1--2>

v=<9,3>

We write v as multiples of the basis vectors to obtain:

v=9i+3j