For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -120°, and 0₂ = 90° A = (2,4,0) B = (-4,3,0) |F| = = 15 with 0x = -30°, 0y (a) Sketch A, B, and C on one graph. (b) Find the magnitudes of A, B, C, and D. Find the components of F. (c) Compute A + B by components and by graphing. Determine the unit vector of the resultant vector. == D = (1,1,1) (d) Compute A - B by components and by graphing. Determine the unit vector of the resultant vector. (e) Find the components, magnitude, and direction of 4B.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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For parts (a)-(e), please use the following vectors:
C = (-1,-1,0)
-30°, 0y = -120°, and 0₂ = 90°
A = (2,4,0)
|F| = 15 with 0x =
B = (-4,3,0)
D = (1,1,1)
(a) Sketch A, B, and C on one graph.
(b) Find the magnitudes of A, B, C, and D. Find the components of F.
(c) Compute A + B by components and by graphing. Determine the unit vector of the
resultant vector.
(d) Compute A - B by components and by graphing. Determine the unit vector of the
resultant vector.
(e) Find the components, magnitude, and direction of 4B.
Transcribed Image Text:For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -30°, 0y = -120°, and 0₂ = 90° A = (2,4,0) |F| = 15 with 0x = B = (-4,3,0) D = (1,1,1) (a) Sketch A, B, and C on one graph. (b) Find the magnitudes of A, B, C, and D. Find the components of F. (c) Compute A + B by components and by graphing. Determine the unit vector of the resultant vector. (d) Compute A - B by components and by graphing. Determine the unit vector of the resultant vector. (e) Find the components, magnitude, and direction of 4B.
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