1. Given vectors as shown in the figure, what is the direction vector Č = Ä + ? (A) 15° above the x-axis (B) 75° above the x-axis (C) 15º below the x-axis (D) 75° below the x-axis 2.0 cm a= 30° 2. With the same vectors as given in the above problem, what is the direction vector D = Ä – B ? 2.0 cm (A) 15° above the x-axis (B) 75° above the x-axis (C) 15º below the x-axis (D) 75° below the x-axis

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Vector Addition and Subtraction Problem Set**

**1.** Given vectors as shown in the figure, what is the direction vector \( \vec{C} = \vec{A} + \vec{B} \)?
- (A) \( 15^\circ \) above the x-axis
- (B) \( 75^\circ \) above the x-axis
- (C) \( 15^\circ \) below the x-axis
- (D) \( 75^\circ \) below the x-axis

**2.** With the same vectors as given in the above problem, what is the direction vector \( \vec{D} = \vec{A} - \vec{B} \)?
- (A) \( 15^\circ \) above the x-axis
- (B) \( 75^\circ \) above the x-axis
- (C) \( 15^\circ \) below the x-axis
- (D) \( 75^\circ \) below the x-axis

**Explanation of the Diagram:**
The provided figure illustrates two vectors:

- Vector \( \vec{A} \):
  - This vector is represented by an arrow pointing horizontally to the right along the x-axis.
  - Its length is measured as 2.0 cm.

- Vector \( \vec{B} \):
  - This vector is represented by an arrow originating from the same starting point as \( \vec{A} \) but pointing upward to the right, making an angle \( \alpha = 30^\circ \) with the x-axis.
  - Its length is also measured as 2.0 cm.

The vectors are depicted within an xy-coordinate system.
Transcribed Image Text:**Vector Addition and Subtraction Problem Set** **1.** Given vectors as shown in the figure, what is the direction vector \( \vec{C} = \vec{A} + \vec{B} \)? - (A) \( 15^\circ \) above the x-axis - (B) \( 75^\circ \) above the x-axis - (C) \( 15^\circ \) below the x-axis - (D) \( 75^\circ \) below the x-axis **2.** With the same vectors as given in the above problem, what is the direction vector \( \vec{D} = \vec{A} - \vec{B} \)? - (A) \( 15^\circ \) above the x-axis - (B) \( 75^\circ \) above the x-axis - (C) \( 15^\circ \) below the x-axis - (D) \( 75^\circ \) below the x-axis **Explanation of the Diagram:** The provided figure illustrates two vectors: - Vector \( \vec{A} \): - This vector is represented by an arrow pointing horizontally to the right along the x-axis. - Its length is measured as 2.0 cm. - Vector \( \vec{B} \): - This vector is represented by an arrow originating from the same starting point as \( \vec{A} \) but pointing upward to the right, making an angle \( \alpha = 30^\circ \) with the x-axis. - Its length is also measured as 2.0 cm. The vectors are depicted within an xy-coordinate system.
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