   # A vector is given by R → = 2 i ^ + j ^ + 3 k ^ . Find (a) the magnitudes of the x , y , and z components; (b) the magnitude of R → ; and (c) the angles between R → and the x , y , and z axes. ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 3, Problem 3.57AP
Textbook Problem
718 views

## A vector is given by R → = 2 i ^ + j ^ + 3 k ^ . Find (a) the magnitudes of the x, y, and z components; (b) the magnitude of R → ; and (c) the angles between R → and the x, y, and z axes.

(a)

To determine

The magnitudes of the x , y and z component of the vector R=2i^+j^+3k^ .

### Explanation of Solution

The given vector is R=2i^+j^+3k^ .

A vector R in its components form can be written as,

R=Rxi^+Ryj^+Rzk^ (I)

• Rx is the horizontal component of vector R .
• Ry is the horizontal component of vector R

(b)

To determine

The magnitudes of vector R=2i^+j^+3k^ .

(c)

To determine

The angles between the vector R and the x , y and z axes.

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