   Chapter 12.2, Problem 25E

Chapter
Section
Textbook Problem

# Find a unit vector that has the same direction as the given vector.25. 8i − j + 4k

To determine

To find: The unit vector with same direction.

Explanation

Given:

Vector 8ij+4k .

Formula:

Write the expression for magnitude of vector a=a1i+a2j+a3k (|a|) .

|a|=a12+a22++a32 (1)

Write the expression for unit vector with same direction (u) .

u=1|a|a (2)

Substitute 8 for a1 , –1 for a2 , 4 for a3 in equation (1),

|a|=

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