Solve the following problems using pen and showing all the steps of your solutio

Question

Solve the following problems using pen and showing all the steps of your solution in a clear tidy way. Vectors vector A and vector B are shown in the figure down. Vector C vector is given by vector C = vector B - vector A. The magnitude of vector A vector is 1 8 0 units, and the magnitude of vector B vector is 9.00 units: a. Write each vector in the figure shown in terms of the unit vectors. b. Use unit vectors to express the vector C vector. c. Find the magnitude and direction of vector C. d. Find the angle of the vector C vector with +x-axis measured counterclockwise.

Explanation / Answer

1) A = 18cos132i+18sin132j = -12.04i+13.38 j

B = 9cos211i+9sin211j = -7.71i-4.64 j

2) C = B-A = 4.33i-18.02 j

3) c = sqrt(4.33^2+18.02^2) = 18.53 units

4) theta = tan^-1(-18.02/4.33) = -76.5 below the x axis or 283.5 degrees

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