Chapter 9: Vector (page 603)

In Problems $45$ , find each quantity if v = $3 i - 5 j$ and w = $- 2 i + 3 j$ .
$45$ . |v| - |w|

Short Answer

Expert verified

Answer is 2.22

Step by step solution

- Given information

V = 3i-5j and W = -2i+3j

- To find

1. Mod of V

2. Mod of W

3. Substract mod of W from mod of V.

- Solution part 1

$|V| = |3 i - 5 j| = \sqrt{(3^{2}) + (5^{2})} = \sqrt{(9) + (25)} = \sqrt{(34)} = 5.83$

- Solution part 2

$|W| = |- 2 i + 3 j| = \sqrt{(2^{2}) + (3^{2})} = \sqrt{(4) + (9)} = \sqrt{13} = 3.60$

- Solution part 3

$|V| - |W| = 5.83 - 3.60 = 2.22$

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In Problems $45$ , find each quantity if v = $3 i - 5 j$ and w = $- 2 i + 3 j$ .
$45$ . |v| - |w|

Short Answer

Step by step solution

- Given information

- To find

- Solution part 1

- Solution part 2

- Solution part 3

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In Problems 45, find each quantity if v = 3i-5jand w = -2i+3j. 45. |v| - |w|

Short Answer

Step by step solution

- Given information

- To find

- Solution part 1

- Solution part 2

- Solution part 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

In Problems $45$ , find each quantity if v = $3 i - 5 j$ and w = $- 2 i + 3 j$ .
$45$ . |v| - |w|