Two vectors are given by a = 8.9 x - 3.9 y and b= -11.6 x + 4.4 y. What is the m

Question

Two vectors are given by a = 8.9 x - 3.9 y and b= -11.6 x + 4.4 y.

What is the magnitude of a?
What is the angle between vectorb and the positive x-axis?
What is the magnitude of the vector a +b? This one I got the answer 2.75. which was rt. You add both 8.9,-11.6 (square it) and -3.9+4.4 (squareit) add those 2 answers and then take the square root Two vectors are given by a = 8.9 x - 3.9 y and b= -11.6 x + 4.4 y.

What is the magnitude of a?
What is the angle between vectorb and the positive x-axis?
What is the magnitude of the vector a +b? This one I got the answer 2.75. which was rt. You add both 8.9,-11.6 (square it) and -3.9+4.4 (squareit) add those 2 answers and then take the square root

Explanation / Answer

(a)      magnitude of 'a' is:   ( 8.9)2   + (-3.9)2                                 = 9.716 (b)         cos   = B.X / (-11.6)2 +(4.4)2                   = - 11.6 / 12.046                   =   - 0.934                 = cos-1 ( - 0.934)                   =   159.22o Hope this helps u1

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