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Write J = AB in component from where Point A= vector (6,8) and point B = (5,7)

Write J = AB in component from where Point A= vector (6,8) and point B = (5,7)

Trigonometry (11th Edition)
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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### Transcription of Educational Content: 1. **Geometry Problem:** - **Angle \( A \) = 20°** - **Side \( a \) = 15** - **Side \( b \) = 22** 2. **Vector Problem:** - Write vector \( \vec{v} = \overrightarrow{AB} \) in component form where: - **Point \( A = (6, 8) \)** - **Point \( B = (5, 7) \)** ### Explanation: #### Vector Components: To write the vector \( \overrightarrow{AB} \) in component form, subtract the coordinates of point \( A \) from point \( B \). - **\( \overrightarrow{AB} = (x_2 - x_1, y_2 - y_1) \)** - **\( \overrightarrow{AB} = (5 - 6, 7 - 8) \)** - **\( \overrightarrow{AB} = (-1, -1) \)** This vector \( \overrightarrow{AB} \) is represented by the components \( (-1, -1) \), indicating the direction and magnitude from point \( A \) to point \( B \).
Transcribed Image Text:### Transcription of Educational Content: 1. **Geometry Problem:** - **Angle \( A \) = 20°** - **Side \( a \) = 15** - **Side \( b \) = 22** 2. **Vector Problem:** - Write vector \( \vec{v} = \overrightarrow{AB} \) in component form where: - **Point \( A = (6, 8) \)** - **Point \( B = (5, 7) \)** ### Explanation: #### Vector Components: To write the vector \( \overrightarrow{AB} \) in component form, subtract the coordinates of point \( A \) from point \( B \). - **\( \overrightarrow{AB} = (x_2 - x_1, y_2 - y_1) \)** - **\( \overrightarrow{AB} = (5 - 6, 7 - 8) \)** - **\( \overrightarrow{AB} = (-1, -1) \)** This vector \( \overrightarrow{AB} \) is represented by the components \( (-1, -1) \), indicating the direction and magnitude from point \( A \) to point \( B \).
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