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Chapter 1: Q9CP (page 17)

(a) A unit vector lies in the plane, at an angle of from theaxis, with a positivecomponent. What is the unit vector? (It helps to draw a diagram.) (b) A string runs up and to the left in theplane, making an angle of to the vertical. Determine the unit vector that points along the string.

Short Answer

Expert verified
  1. The unit vector is .
  2. The unit vector is .

Step by step solution

01

Definition of unit vector

A vector is a quantity that has both a magnitude and a direction associated with it. A unit vector is a vector with a magnitude of one. Unit vectors form the basis of vector calculus.

Unit vector given by the direction cosines is .

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