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Chapter 9: Q. 35 (page 621)

Find $||v||$
localid="1646775213470" $v = i - j + k$

Short Answer

Expert verified

The norm of the vector $v = i - j + k$ is $||v|| = \sqrt{3}$

Step by step solution

01

Step 1. Give data

Given vector is

$v = i - j + k$

02

Step 2. Norm of vector

Use formula of the norm of a vector $v = a i + b j + c k$

$| | v | | = \sqrt{a^{2} + b^{2} + c^{2}}$

so norm of the vector $v = i - j + k$

localid="1646775291879" $||v|| = \sqrt{1^{2} + {(- 1)}^{2} + {(1)}^{2}} ||v|| = \sqrt{1 + 1 + 1} ||v|| = \sqrt{3}$

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