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Chapter 9: Q. 44 (page 603)

find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$
$||v + w||$

Short Answer

Expert verified

The value of $||v + w||$ when $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ is $\sqrt{5}$

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 v+w

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

$v + w = i - 2 j$

03

Step 3. Find the magnitude

$||v + w|| = \sqrt{1^{2} + 2^{2}}$

$||v + w|| = \sqrt{1 + 4}$

$||v + w|| = \sqrt{5}$

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Most popular questions from this chapter

Write the expression in the standard form $a + b i$ .

${[4 (\cos 40 ° + i \sin 40 °)]}^{3}$

In Problems $11 - 22$ , plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

$- 2 + 3 i$ .

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r \sin θ = 4$

Identify and graph each polar equation. Verify your graph using a graphing utility.

$r = 1 - \cos θ$

Match the graph with the polar equation.

$r = 2 \sin θ$

See all solutions

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