For the vectors A and B, use the method of components to find the magnitude and

Question

For the vectors A and B, use the method of components to find the magnitude and direction of the following. (The length of A is 9.60 m, and the length of B is 14.00 m.) the vector sum A + B magnitude 7.440 m direction 19.799 counterclockwise from the +x-axis the vector sum B + A magnitude 7.440 m direction 19.799 counterclockwise from the +x-axis the vector difference A - B magnitude 22.824 m direction -72.139 counterclockwise from the +x-axis the vector difference B - A magnitude 22.824 m direction 287.860 counterclockwise from the +x-axis

Explanation / Answer

A = -9.6 j

B = 14sin30 i + 14cos30 j = 7i + 12.12j

A-B = -7i - 21.72j

theta = 180 + tan^-1(21.72/7) = 252 deg from +x axis

B-A= 7i + 21.72j

theta = tan^-1(21.72/7) = 72 deg from +x axis

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