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# Let represent any nonzero vector. Why is a unit vector, ISBN: 9780321675460 31

## Solution for problem 21DQ Chapter 1

University Physics | 13th Edition

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Problem 21DQ

Let represent any nonzero vector. Why is a unit vector, and what is its direction? If ? is the angle thamakes with the + x -axis, explain why is called the direction cosine for that axis.

Step-by-Step Solution:

Solution to 21DQ Here in the first part of the solution we would enquire about Unit Vector and its direction.In the second part we would see why(A) .i is a direction cosine in that axis. PART 1 Step 1. Mathematically a vector is defined as a dot product of its magnitude and its direction. =|A|.A Here A t he component that gives the direction of the vecto. he magnitude is given by | | Step 2. Unit vector is a vector with a magnitude 1 and gives the information of the direction of the vector it is associated with. Thus to find the direction of a vector, it is necessary to find its unit vector. A A= .A The unit vector itself gives the direction. 1 1 For example A= (2, 2) is a unit vector. It has a magnitude of 1. Its direction is1 i - 1 j . 2 2 PART 2 Step 1. Consider the vector A is making an angle with respect to x axis. Direction cosine is the cosine of the angle between the two vectors.

Step 2 of 2

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 21DQ from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 21DQ from 1 chapter was answered, more than 297 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: Vector, direction, axis, its, Cosine. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Let represent any nonzero vector. Why is a unit vector, and what is its direction? If ? is the angle thamakes with the + x -axis, explain why is called the direction cosine for that axis.” is broken down into a number of easy to follow steps, and 36 words.

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