If v = 5i + 4j and w = 6i – 9j, find each of the following vectors:
a. v + w
b. V – w.

a. = 11i - 5j

b. = -i + 13j

Step-by-step explanation:

from the question we were given

v = 5i + 4j

w = 6i - 9j

we are to find

a. v + w

b. v - w

a)  v + w

(5i + 4j )+ (6i - 9j)

5i + 4j + 6i - 9j

collect the like terms

11i - 5j

b) v - w

(5i + 4j) -( 6i - 9j)

5i + 4j -6i + 9j

collect the like terms

5i - 6i  +4j + 9j

-i + 13j

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

answer: b.36 feet

step-by-step explanation: