?[T] Two forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) are represented by vectors

Chapter 2, Problem 181

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[T] Two forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) are represented by vectors with initial points that are at the origin. The first force has a magnitude of 20 lb and the terminal point of the vector is point P(1, 1, 0). The second force has a magnitude of 40 lb and the terminal point of its vector is point Q(0, 1, 1). Let F be the resultant force of forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) .

a. Find the magnitude of F. (Round the answer to one decimal place.)

b. Find the direction angles of F. (Express the answer in degrees rounded to one decimal place.)

Text Transcription:

F_1

F_2