Question

Find (a) u + v, (b) u - v, and (c) 2u - 3v, Then sketch each resultant vector.

u = i + j, v = 2i - 3j

Answer 1

step 1:

(a)

The vectors are and .

Resultant vector .

Graph:

.

Solution:

Resultant vector .

Graph of resultant vector:

Answer 2

Step 1:

(b)

The vectors are and .

Resultant vector .

Graph:

Solution:

Resultant vector .

Graph of the Resultant vector:

Answer 3

step 1:

(c)

The vectors are and .

Resultant vector .

Graph:

Solution:

Resultant vector .

Graph of the Resultant vector: