Chapter 9: Q. 34 (page 630)

use the vectors $v = - 2 i + j$ and $w = 4 i - 3 j$ to find:
$∥ v ∥ + ∥ w ∥$

Short Answer

Expert verified

$∥ v ∥ + ∥ w ∥ = 5 + \sqrt{5}$

Step by step solution

Step 1. Given information

We have to find the value of $∥ v ∥ + ∥ w ∥$ using :

role="math" $v = - 2 i + j w = 4 i - 3 j$

Step 2. Find the value

We know that the magnitude of the vector is given by :

$∥ v ∥ = \sqrt{{a_{1}}^{2} + {b_{1}}^{2}}$

Apply it for the given equation :

localid="1646892047521" $∥ v ∥ + ∥ w ∥ = \sqrt{{(- 2)}^{2} + {(1)}^{2}} + \sqrt{{(4)}^{2} + {(- 3)}^{2}} ∥ v ∥ + ∥ w ∥ = \sqrt{4 + 1} + \sqrt{16 + 9} ∥ v ∥ + ∥ w ∥ = \sqrt{5} + \sqrt{25} ∥ v ∥ + ∥ w ∥ = 5 + \sqrt{5}$

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use the vectors $v = - 2 i + j$ and $w = 4 i - 3 j$ to find:
$∥ v ∥ + ∥ w ∥$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the value

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use the vectors v=-2i+jand w=4i-3jto find: ∥v∥+∥w∥

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Statistics

Pure Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

use the vectors $v = - 2 i + j$ and $w = 4 i - 3 j$ to find:
$∥ v ∥ + ∥ w ∥$