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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 35 (page 613)

Prove property $(5), 0 路 v = 0 .$

Short Answer

Expert verified

It is proved that $0 路 v = 0 .$

Step by step solution

01

Step 1. Given Information

We have to prove the property that $0 路 v = 0 .$

02

Step 2. Proving

To prove the property let $v = x i + y j$

Now, we know the dot product of two vectors is role="math" localid="1646825639826" $u 路 w = a_{1} a_{2} + b_{1} b_{2}$ where $u = a_{1} i + b_{1} j w = a_{2} i + b_{2} j$

So,

$0 路 v = 0 路 x + 0 路 y = 0$

Hence proved.

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