Question

Question 1

If u = <11,-5> and v = <-2,3> find 3u - 5v.

Question 2
If m = <0,0> and n = <1,-6> find m - n.

Explain how you got your answer.

Answer 1

1. <43, -30>
2. <-1, 6>

Explanation:

The answer is found by carrying out the indicated arithmetic. Multiplying a vector by a scalar multiplies each of the vector's components. Adding vectors adds corresponding components.

Question 1

3u -5v = 3<11, -5> -5<-2, 3>

= <3·11 -5(-2), 3(-5) -5(3)>

= <33 +10, -15 -15>

= <43 -30>

Question 2

m - n = <0, 0> -<1, -6>

= <0 -1, 0 -(-6)>

= <-1, 6>