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Part G Given the same coordinate system as the one shown in Part F, what are the components of C? Express your answers in terms of A, B, and separated by a comma (with angles measured in radians). Cz, Cy= — ΑΣΦ vec B ?

Part G Given the same coordinate system as the one shown in Part F, what are the components of C? Express your answers in terms of A, B, and separated by a comma (with angles measured in radians). Cz, Cy= — ΑΣΦ vec B ?

Advanced Engineering Mathematics
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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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 1 Figure 2 Figure 3 B 0 A lb Le C=A+B the Part C 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 8. Angles are measured in radians. Use asin for arcsine. ▸ View Available Hint(s) b= Part F Avec B₂, B₁= ĆE ? Find the components of B in the coordinate system shown.(Figure 3) Express your answers in terms of B and separated by a comma (with angles measured in radians). AE Ivec @ ?
Transcribed Image Text: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 1 Figure 2 Figure 3 B 0 A lb Le C=A+B the Part C 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 8. Angles are measured in radians. Use asin for arcsine. ▸ View Available Hint(s) b= Part F Avec B₂, B₁= ĆE ? Find the components of B in the coordinate system shown.(Figure 3) Express your answers in terms of B and separated by a comma (with angles measured in radians). AE Ivec @ ?
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 C=A+B where C is a new vector that is the sum of A and B. Part G Given the same coordinate system as the one shown in Part F, what are the components of C? Express your answers in terms of A, B, and separated by a comma (with angles measured in radians). 195| ΑΣΦ. 11 vec Cz, Cy= 2 ?
Transcribed Image Text: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 C=A+B where C is a new vector that is the sum of A and B. Part G Given the same coordinate system as the one shown in Part F, what are the components of C? Express your answers in terms of A, B, and separated by a comma (with angles measured in radians). 195| ΑΣΦ. 11 vec Cz, Cy= 2 ?
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