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Precalculus Mathematics for Calculus
Found in: Page 646
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Dot Products

Find the indicated quantity, assuming that u=2i+j,v=i-3j&w=3i+4j


The required value of dot product is -10

See the step by step solution

Step by Step Solution

Step 1. Given information

Vectors are given as


Step 2. Concept used

The dot product of two vectors u and v can be defined as-


Where u=a1,a2&v=b1,b2

Properties of the dot product of vectors


Transform the required expression and find the value using the dot product of vectors.

Step 3. Calculation

Using Properties of the dot product of vectors,


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