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Chapter 9: Q. 34 (page 621)

Find $||v||$
$v = - 6 i + 12 j + 4 k$

Short Answer

Expert verified

The norm of the vector $v = - 6 i + 12 j + 4 k$ is $||v|| = 14$

Step by step solution

Step 1. Give data

Given vector is

$v = - 6 i + 12 j + 4 k$

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 $v = - 6 i + 12 j + 4 k$

localid="1646775142927" $||v|| = \sqrt{{(- 6)}^{2} + {(12)}^{2} + {(4)}^{2}} ||v|| = \sqrt{36 + 144 + 16} ||v|| = \sqrt{196} ||v|| = 14$

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Find vv=-6i+12j+4k

Short Answer

Step by step solution

Step 1. Give data

Step 2. Norm of vector

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Find $||v||$
$v = - 6 i + 12 j + 4 k$