20. a = (3,2), b = (-2, -3)

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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**Exercises 19–22: Find each of the following.**

(a) \( 2\mathbf{a} \)  
(b) \( \mathbf{a} - 3\mathbf{b} \)  
(c) \( \mathbf{a} \cdot \mathbf{b} \)  
(d) The angle \( \theta \) between \(\mathbf{a}\) and \(\mathbf{b}\) rounded to a tenth of a degree

**19.** \( \mathbf{a} = \langle 3, -2 \rangle \), \( \mathbf{b} = \langle 1, 1 \rangle \)

**20.** \( \mathbf{a} = \langle 3, 2 \rangle \), \( \mathbf{b} = \langle -2, -3 \rangle \)
Transcribed Image Text:**Exercises 19–22: Find each of the following.** (a) \( 2\mathbf{a} \) (b) \( \mathbf{a} - 3\mathbf{b} \) (c) \( \mathbf{a} \cdot \mathbf{b} \) (d) The angle \( \theta \) between \(\mathbf{a}\) and \(\mathbf{b}\) rounded to a tenth of a degree **19.** \( \mathbf{a} = \langle 3, -2 \rangle \), \( \mathbf{b} = \langle 1, 1 \rangle \) **20.** \( \mathbf{a} = \langle 3, 2 \rangle \), \( \mathbf{b} = \langle -2, -3 \rangle \)
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