Learning Goal: To practice addition of vectors. Vectors are quantities that possess both magnitude and direction. In engineering problems, it is best to think of vectors as arrows, and usually it is best to manipulate vectors using components. In this tutorial, we consider the addition of two vectors using both of these techniques. Consider two vectors A and B that have lengths A and B, respectively. Vector B makes an angle from the direction of A.( Figure 1)In vector notation, the sum is represented by where C is a new vector that is the sum of A and B. Figure Part A B Part C 0 A Which of the following procedures can be used to add the vectors A and B? b= C=A+B Place B's tail at A's tip, C's tail at A's tail, and C's tip at B's tip. Place A's tail at B's tail, C's tail at B's tip, and C's tip at A's tip. Place A's tail at B's tail, C's tail at A's tip, and C's tip at B's tip. Calculate the magnitude as the sum of the lengths and the direction as midway between A and B. Find the angle b that the vector C makes with vector A Express your answer in terms of some or all of A, B, C and 9. Angles are measured in radians. Use asin for arcsine. ▸ View Available Hint(s) 15. ΑΣΦ | 11 Ivec ?
Learning Goal: To practice addition of vectors. Vectors are quantities that possess both magnitude and direction. In engineering problems, it is best to think of vectors as arrows, and usually it is best to manipulate vectors using components. In this tutorial, we consider the addition of two vectors using both of these techniques. Consider two vectors A and B that have lengths A and B, respectively. Vector B makes an angle from the direction of A.( Figure 1)In vector notation, the sum is represented by where C is a new vector that is the sum of A and B. Figure Part A B Part C 0 A Which of the following procedures can be used to add the vectors A and B? b= C=A+B Place B's tail at A's tip, C's tail at A's tail, and C's tip at B's tip. Place A's tail at B's tail, C's tail at B's tip, and C's tip at A's tip. Place A's tail at B's tail, C's tail at A's tip, and C's tip at B's tip. Calculate the magnitude as the sum of the lengths and the direction as midway between A and B. Find the angle b that the vector C makes with vector A Express your answer in terms of some or all of A, B, C and 9. Angles are measured in radians. Use asin for arcsine. ▸ View Available Hint(s) 15. ΑΣΦ | 11 Ivec ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Learning Goal:
To practice addition of vectors.
Vectors are quantities that possess both magnitude and direction. In engineering problems, it is best to think of vectors as arrows, and
usually it is best to manipulate vectors using components. In this tutorial, we consider the addition of two vectors using both of these
techniques.
Consider two vectors A and B that have lengths A and B, respectively. Vector B makes an angle from the direction of A.(
Figure 1)In vector notation, the sum is represented by
where C is a new vector that is the sum of A and B.
Figure
Part A
B
Part C
0
Which of the following procedures can be used to add the vectors A and B?
b=
C=A+B
Place B's tail at A's tip, C's tail at A's tail, and C's tip at B's tip.
Place A's tail at B's tail, C's tail at B's tip, and C's tip at A's tip.
Place A's tail at B's tail, C's tail at A's tip, and C's tip at B's tip.
Calculate the magnitude as the sum of the lengths and the direction as midway between A and B.
Find the angle b that the vector C makes with vector A
Express your answer in terms of some or all of A, B, C and 9. Angles are measured in radians. Use asin for arcsine.
▸ View Available Hint(s)
15. ΑΣΦ | 11 Ivec
?
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