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Chapter 9: Q. 42 (page 603)

Find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ .
$3 v - 2 w$

Short Answer

Expert verified

The value of $3 v - 2 w$ when $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ is $13 i - 21 j$

Step by step solution

01

Step 1. Given data

$v = 3 i - 5 j$ and $w = - 2 i + 3 j$

02

Step 2. Find the exact valueSubstitute the values of v and w in the equation

$3 v - 2 w = 3 (3 i - 5 j) - 2 (- 2 i + 3 j)$

$3 v - 2 w = 9 i - 15 j + 4 i - 6 j$

$3 v - 2 w = 13 i - 21 j$

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