Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. (Round your coefficients to three decimal places.) Iv| = 5, 0 = 10° v = 4.9i + 0.85j
Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. (Round your coefficients to three decimal places.) Iv| = 5, 0 = 10° v = 4.9i + 0.85j
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 horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors \( \mathbf{i} \) and \( \mathbf{j} \). (Round your coefficients to three decimal places.)
Given:
- \( |v| = 5 \)
- \( \theta = 10^\circ \)
**Solution:**
\[ \mathbf{v} = 4.9\mathbf{i} + 0.85\mathbf{j} \]
This provides the vector's horizontal and vertical components in terms of the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa00ebaa-23b9-4b28-a7ce-1aeaaf3b9d34%2F906c1e6f-33cf-4f8c-97ed-42ac27f62be2%2Fe8d3gm_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors \( \mathbf{i} \) and \( \mathbf{j} \). (Round your coefficients to three decimal places.)
Given:
- \( |v| = 5 \)
- \( \theta = 10^\circ \)
**Solution:**
\[ \mathbf{v} = 4.9\mathbf{i} + 0.85\mathbf{j} \]
This provides the vector's horizontal and vertical components in terms of the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \).
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