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Displacement Vector A\vec { A } Is 75 Cm Long and Points at 30° Above the and Points

Question 77

Essay

Displacement vector A\vec { A } is 75 cm long and points at 30° above the +x-axis. Displacement vector B\overrightarrow { \mathbf { B } } is 25 cm long and points along the -x-axis. Displacement vector C\overrightarrow { \mathrm { C } } is 40 cm long and points at 45° below the -x-axis.
(a) Determine the x and y components of vector A\vec { A } .
(b) Determine the x and y components of vector B\overrightarrow { \mathbf { B } } .
(c) Determine the x and y components of vector C\overrightarrow { \mathrm { C } } .
(d) Determine the x and y components of the resultant of these three vectors.
(e) Determine the magnitude and direction of the resultant of these three vectors.

Correct Answer:

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(a) Ax = 65 cm, Ay = 38 cm (b) B...

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