   Chapter 12.4, Problem 20E

Chapter
Section
Textbook Problem

# Find two unit vectors orthogonal to both j − k and i + j.

To determine

To find: The two unit vectors orthogonal to both jk and i+j .

Explanation

Given:

jk and i+j .

Formula:

By theorem 8, the cross product of two vectors is orthogonal to both vectors, when their dot product is equal to zero.

Write the expression to find unit vector of vector a.

Unitvector=a|a|

Find the cross product between jk and i+j .

(jk)×(i+j)=|ijk011110|=|1110|i|0110|j+|0111|k=(0+1)i(0+1)j+(01)k=ijk

Find unit vectors

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