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Chapter 9: Q. 37 (page 621)

Find $||v||$
localid="1646775460766" $v = - 2 i + 3 j - 3 k$

Short Answer

Expert verified

The norm of the vector $v = - 2 i + 3 j - 3 k$ is $||v|| = \sqrt{22}$

Step by step solution

01

Step 1. Give data

Given vector is

$v = - 2 i + 3 j - 3 k$

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 $v = - 2 i + 3 j - 3 k$

localid="1646775530772" $||v|| = \sqrt{{(- 2)}^{2} + {(3)}^{2} + {(- 3)}^{2}} ||v|| = \sqrt{4 + 9 + 9} ||v|| = \sqrt{22}$

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