three vectors are shown in fig. 3-32. their magnitudesare given in arbitrary uni

Question

three vectors are shown in fig. 3-32. their magnitudesare given in arbitrary units. determine the sum of the threevectors. give the resultant in terms of (a) components(b)magnitude and angle with the x-axis. figure 3-32 details: vector A: A=44.0, begins @ origin, extends into QI withan angle of 28 degrees
vector B: B=26.5, begins @ origin, extends into QII with anangle of 56 degrees
vector C: C=31, begins @ origin, lies directly on -y axis(270 degrees). three vectors are shown in fig. 3-32. their magnitudesare given in arbitrary units. determine the sum of the threevectors. give the resultant in terms of (a) components(b)magnitude and angle with the x-axis. figure 3-32 details: vector A: A=44.0, begins @ origin, extends into QI withan angle of 28 degrees
vector B: B=26.5, begins @ origin, extends into QII with anangle of 56 degrees
vector C: C=31, begins @ origin, lies directly on -y axis(270 degrees).

Explanation / Answer

vector A = 44 cos 28 i + 44 sin 28 j              = 38.84 i + 20.65 j vector B = 26.5 cos 56 * -i + 26.5 sin 56 j               = -14.81 i + 21.96 j vector C = -31 j sum of theree vectors = A + B + C                                  = 24.03 i + 11.61 j (b). let the resulatnt makes an angle with x -axisthen tan = 11.61 / 24.03                                                                                          = 25.78 degrees

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