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Chapter 9: Q. 46 (page 603)

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

v+w

Short Answer

Expert verified

The quantity ofv+wis 34+13.

Step by step solution

01

Step 1. Given information.

Consider the given question,

v=3i-5jw=-2i+3j

The magnitude of the vector v=a1i+b1j,

v=a12+b12

Compare v=3i-5jwith the standard form v=a1i+b1j,

a1=3,b1=-5

Then,

v=32+-52v=9+25v=34

02

Step 2. Compare w with the standard form.

Compare w=-2i+3jwith the standard form v=a1i+b1j,

a1=-2b1=3

Then,

w=-22+32w=4+9w=13

Therefore, we can write,

v+w=34+13

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