Using the Angle Between Two Vectors In Exercises 39-42, find u. v, where 0 is the angle between u and v. 39. ||u|| = 9, ||v|| = 36, 0 3π 4

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Using the Angle Between Two Vectors**

In Exercises 39–42, find **u · v**, where θ is the angle between **u** and **v**.

39. \( ||\mathbf{u}|| = 9 \), \( ||\mathbf{v}|| = 36 \), \( \theta = \frac{3\pi}{4} \)
Transcribed Image Text:**Using the Angle Between Two Vectors** In Exercises 39–42, find **u · v**, where θ is the angle between **u** and **v**. 39. \( ||\mathbf{u}|| = 9 \), \( ||\mathbf{v}|| = 36 \), \( \theta = \frac{3\pi}{4} \)
Expert Solution
Step 1

Given Data :

Here we have given two vectors u,v with ||u||=9, ||v||=36

and the angle between θ=3π4.

 

Explanation :

From definition of vectors we have,

u.v=||u|| ||v|| cos(θ)

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