Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be right the

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
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1. Find the magnitude of B, if B ={-1,2, -2}.
2. Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and
B = {-1,2, -2}.
3. Find the y-component a force, 120N, acting 45 degrees to the right of the
negative y-axis.
4. Find the x-component a force, 150N, acting 60 degrees below the positive x-
axis.
%3D
5. Find the x-component the resultant of two forces: A= 200N, acting 30
degrees to left of the negative y-axis, and B=50N, acting 45 degrees below
the positive x-axis.
6. Find the angle that the tesultant of two forces: A= 150N, acting 60 degrees
to left of the negative y-axis, and B=50N, acting 45 degrees below the
positive x-axis, makes with the x-axis. Clockwise positive.
7. Find the resultant of the forces: A= 150N, acting 30 degrees to left of the
negative y-axis, and B=100N, acting 45 degrees below the positive x-axis,
and C= 50N to the left.
8. Find the resultant of the forces: A= 120N, acting 50 degrees to left of the
negative y-axis, and B=180N, acting 40 degrees below the positive x-axis,
and C= 20N downward.
9. Find the resultant of the forces: A= 100N, acting 30 degrees to left of the
negative y-axis, and B=120N, acting 45 degrees below the positive x-axis,
C= 50N to the left, and D=20N downward.
For numbers 10,11 & 12
Point A (1,0, -1)
Point B (-2,0,1)
Point C (2, -1,0)
10. Given the following points, what is z-component of a 500N force directed
along a line connecting points A to B.
11. Given the following points, what is x-component of a 200N force directed
along a line connecting points A and C.
12. Given the following points, what is resultant of the two forces: a 500N force
directed along a line connecting points A and B & a 200N force directed along
a line connecting points A and C.
Transcribed Image Text:1. Find the magnitude of B, if B ={-1,2, -2}. 2. Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = {-1,2, -2}. 3. Find the y-component a force, 120N, acting 45 degrees to the right of the negative y-axis. 4. Find the x-component a force, 150N, acting 60 degrees below the positive x- axis. %3D 5. Find the x-component the resultant of two forces: A= 200N, acting 30 degrees to left of the negative y-axis, and B=50N, acting 45 degrees below the positive x-axis. 6. Find the angle that the tesultant of two forces: A= 150N, acting 60 degrees to left of the negative y-axis, and B=50N, acting 45 degrees below the positive x-axis, makes with the x-axis. Clockwise positive. 7. Find the resultant of the forces: A= 150N, acting 30 degrees to left of the negative y-axis, and B=100N, acting 45 degrees below the positive x-axis, and C= 50N to the left. 8. Find the resultant of the forces: A= 120N, acting 50 degrees to left of the negative y-axis, and B=180N, acting 40 degrees below the positive x-axis, and C= 20N downward. 9. Find the resultant of the forces: A= 100N, acting 30 degrees to left of the negative y-axis, and B=120N, acting 45 degrees below the positive x-axis, C= 50N to the left, and D=20N downward. For numbers 10,11 & 12 Point A (1,0, -1) Point B (-2,0,1) Point C (2, -1,0) 10. Given the following points, what is z-component of a 500N force directed along a line connecting points A to B. 11. Given the following points, what is x-component of a 200N force directed along a line connecting points A and C. 12. Given the following points, what is resultant of the two forces: a 500N force directed along a line connecting points A and B & a 200N force directed along a line connecting points A and C.
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