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1.7. Components of a Vector

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Consider the following vector, A:

Consider the following vector, A:

How can we replace vector A by two perpendicular components?

Aadj=A∙Cos θand Aopp=A∙Sin θ

The drawing shows a force vector that has a magnitude of 475 N. Find the (a) x, (b) y, and (c) z components of the vector.

A jogger runs 145 m in a direction 20.0° east of north (displacement vector A) and then 105 m in a direction 35.0° south of east (displacement vector B).

Find the resultant of the three displacement vectors in the drawing by means of the component method. The magnitudes of the vectors are A = 5.00 m, B = 5.00 m, and C = 4.00 m.