Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following: (a) A - C, (b) À - (F + 2C), (c) j• B, (d) D x ¿, (e) Àx (F + 2C), (f) (Ä x F) • (D xB). 2) Given two vectors, A = 5.00 î+2.00 ĵ, and B = -2.00 î - 3.00ĵ, find (a) A + B; (b) |Ã + B|;(c) A - B (d) A - B.3) Find the dot product A-C and cross product Ax C for the following pairs:(a) A = 2.0i-4.0j + k€ = 3.0 î+ 4.0 ĵ + 10.0 k(b) A = 2.0 î+ 4.0 ĵ + 10.0 kĈ= 2.0i-4.0j + k(c) A = -3.0 î-4.0ĵC = -3.0 î+ 4.0ĵ4) Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find thefollowing: (a) A -C, (b) A- (F + 2C), (c)ĵ-B, (d) D×C, (e) Ả× (F + 2C), (†) (Ã × F) · (D × B).YA7.A = 10.030C-12.060°ĆB=5.05310D37°D = 20.030°F=20.0

Answered: Image /qna-images/answer/2b9bcbba-ed4e-4c96-8607-10f7cc97181e.jpg

4) Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following: (a) A -C, (b) A- (F + 2C), (c) ĵ-B, (d) D × C, (e) Ả× (F + 2C), (†) (Ả × F) - (D × B). + A = 10.0 30° C-12.0 60 10 B-5.0 53 10 37 D=20.0 124 30 F=20.0

4) Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following: (a) A -C, (b) A- (F + 2C), (c) ĵ-B, (d) D × C, (e) Ả× (F + 2C), (†) (Ả × F) - (D × B). + A = 10.0 30° C-12.0 60 10 B-5.0 53 10 37 D=20.0 124 30 F=20.0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 8PQ

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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following: (a) A - C, (b) À - (F + 2C), (c) j• B, (d) D x ¿, (e) Àx (F + 2C), (f) (Ä x F) • (D xB).

2) Given two vectors, A = 5.00 î+2.00 ĵ, and B = -2.00 î - 3.00ĵ, find (a) A + B; (b) |Ã + B|;
(c) A - B (d) A - B.
3) Find the dot product A-C and cross product Ax C for the following pairs:
(a) A = 2.0i-4.0j + k
€ = 3.0 î+ 4.0 ĵ + 10.0 k
(b) A = 2.0 î+ 4.0 ĵ + 10.0 k
Ĉ= 2.0i-4.0j + k
(c) A = -3.0 î-4.0ĵ
C = -3.0 î+ 4.0ĵ
4) Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the
following: (a) A -C, (b) A- (F + 2C), (c)ĵ-B, (d) D×C, (e) Ả× (F + 2C), (†) (Ã × F) · (D × B).
YA
7.
A = 10.0
30
C-12.0
60°
Ć
B=5.0
53
10
D
37°
D = 20.0
30°
F=20.0

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