1. 1-Problem B.3 with A=8, B=10, ? = 70 ?, ?=62? and determine the magnitude and

Question

1.        

1-Problem B.3 with A=8, B=10, ? = 70?, ?=62? and determine the magnitude and direction of vector C which is the addition of vectors A and B (C = A + B).

2-Find the magnitude and direction in problem B.3 using the parallelogram method.

Let A be a vector quantity with magnitude A and m be a scalar quantity. The product mA is equal to a new vector, B = mA, such that it has the same direction as vector A but a magnitude equal to m times A. For example, if m 2, then the magnitude of the product vector B is twice as large as the magnitude of vector A.

Explanation / Answer

Vector A =>[ 8 cos(70) , 8 sin(70) ]

Vector B =>[10 cos(62) , 10 sin(62)]

Vector C = A + B = [ 8 cos(70) + 10 cos(62) , 8 sin(70) + 10 sin(62)]

C = [ 11.8 , -1.2 ]

magnitude of C = (11.8^2 + 1.2^2) ^ 1/2

|C| = 11.86

direction = tan^-1 (-1.2/11.8) = -0.101

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