Chapter 9: Q. 40 (page 621)

In Problems 39–44, find each quantity if $v = 3 i - 5 j + 2 k a n d w = - 2 i + 3 j - 2 k$
$3 v - 2 w$

Short Answer

Expert verified

The value of $3 v - 2 w$ is $13 i - 21 j + 10 k$

Step by step solution

Step 1. Given

The quantities:

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

To find the given values.

Step 2. Multiply the scalars

Multiply the scalars with vectors,

$3 v - 2 w = 3 (3 i - 5 j + 2 k) - 2 (- 2 i + 3 j - 2 k) = 9 i - 15 j + 6 k + 4 i - 6 j + 4 k$

Step 3. Add the common terms.

$3 v - 2 w = 9 i - 15 j + 6 k + 4 i - 6 j + 4 k = 13 i - 21 j + 10 k$

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In Problems 39–44, find each quantity if $v = 3 i - 5 j + 2 k a n d w = - 2 i + 3 j - 2 k$
$3 v - 2 w$

Short Answer

Step by step solution

Step 1. Given

Step 2. Multiply the scalars

Step 3. Add the common terms.

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In Problems 39–44, find each quantity if v=3i-5j+2kandw=-2i+3j-2k3v-2w

Short Answer

Step by step solution

Step 1. Given

Step 2. Multiply the scalars

Step 3. Add the common terms.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Calculus

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In Problems 39–44, find each quantity if $v = 3 i - 5 j + 2 k a n d w = - 2 i + 3 j - 2 k$
$3 v - 2 w$