19. (- 4,– 6)

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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#19

**Find the Magnitude and Direction of the Vector**

1.  ⟨0, 4⟩
2.  ⟨−3, 0⟩
3.  ⟨6, 5⟩
4.  ⟨3, 7⟩
5.  ⟨−2, 1⟩
6.  ⟨−10, 13⟩
7.  ⟨2, −5⟩
8.  ⟨8, −4⟩
9.  ⟨−4, −6⟩
10. ⟨−1, 9⟩

This instructional task requires finding both the magnitude and direction of each vector listed. To solve, use the formula for the magnitude:
\[ 
|v| = \sqrt{x^2 + y^2} 
\]
and find the direction using:
\[ 
\theta = \tan^{-1}\left(\frac{y}{x}\right) 
\]
provided \((x, y)\) are the components of the vector.
Transcribed Image Text:**Find the Magnitude and Direction of the Vector** 1. ⟨0, 4⟩ 2. ⟨−3, 0⟩ 3. ⟨6, 5⟩ 4. ⟨3, 7⟩ 5. ⟨−2, 1⟩ 6. ⟨−10, 13⟩ 7. ⟨2, −5⟩ 8. ⟨8, −4⟩ 9. ⟨−4, −6⟩ 10. ⟨−1, 9⟩ This instructional task requires finding both the magnitude and direction of each vector listed. To solve, use the formula for the magnitude: \[ |v| = \sqrt{x^2 + y^2} \] and find the direction using: \[ \theta = \tan^{-1}\left(\frac{y}{x}\right) \] provided \((x, y)\) are the components of the vector.
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