Find the magnitude and the direction of the resultant vector. A. 8.06, 60.26° C. 19.42, 55.50⁰ (-6, -2) 13 V (10, 9) B. 19.42, 34.51° D. 8.06, 29.74°

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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### Problem Statement:

Find the magnitude and the direction of the resultant vector.

### Diagram Explanation:

The diagram shows a coordinate plane with two vectors:
- Vector **V**, represented as \((10, 9)\), pointing diagonally in the first quadrant.
- Vector **W**, represented as \((-6, -2)\), pointing diagonally in the third quadrant.

### Multiple Choice Answers:

A. \(8.06, 60.26^\circ\)  
B. \(19.42, 34.51^\circ\)  
C. \(19.42, 55.50^\circ\)  
D. \(8.06, 29.74^\circ\)  

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This content helps students practice calculating the resultant vector by understanding the components of given vectors and choosing the correct magnitude and direction from the options provided.
Transcribed Image Text:### Problem Statement: Find the magnitude and the direction of the resultant vector. ### Diagram Explanation: The diagram shows a coordinate plane with two vectors: - Vector **V**, represented as \((10, 9)\), pointing diagonally in the first quadrant. - Vector **W**, represented as \((-6, -2)\), pointing diagonally in the third quadrant. ### Multiple Choice Answers: A. \(8.06, 60.26^\circ\) B. \(19.42, 34.51^\circ\) C. \(19.42, 55.50^\circ\) D. \(8.06, 29.74^\circ\) --- This content helps students practice calculating the resultant vector by understanding the components of given vectors and choosing the correct magnitude and direction from the options provided.
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