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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.

Respuesta :

Answer:

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

Step-by-step 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>

Q&A Education