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## 1.7. Components of a Vector

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**1.7. Components of a Vector**Consider the following vector, A:**1.7. Components of a Vector**Consider the following vector, A: How can we replace vector A by two perpendicular components?**1.7. Components of a Vector**Aadj=A∙Cos θ and Aopp=A∙Sin θ**Problem-39**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.**Vector Components**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).**Problem**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.