(Situation 1) Consider the following vectors: A = ti + (3t – 4)J E = 2'1+(10+)-28 C = (t- 3t2)k (a) Determine the magnitude of A, B, and C in terms of t. (b) Operate the following vector product operations: (b.1) dot product of A and B (b.2) dot product of C and B (b.3) Bx C (b.4) A x T (b.5) A (Bx C) (b.6) B x (C x Ã) (c) Suppose t = 1, determine the angle between A and Cin radians.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Answer for the review problem situation 1: 

 

(Situation 1) Consider the following vectors:
A = ti + (3t – 4)J
E = 2'1+(10+)-28
C = (t- 3t2)k
(a) Determine the magnitude of A, B, and C in terms of t.
(b) Operate the following vector product operations:
(b.1) dot product of A and B
(b.2) dot product of C and B
(b.3) Bx C
(b.4) A x T
(b.5) A (Bx C)
(b.6) B x (C x Ã)
(c) Suppose t = 1, determine the angle between A and Cin radians.
Transcribed Image Text:(Situation 1) Consider the following vectors: A = ti + (3t – 4)J E = 2'1+(10+)-28 C = (t- 3t2)k (a) Determine the magnitude of A, B, and C in terms of t. (b) Operate the following vector product operations: (b.1) dot product of A and B (b.2) dot product of C and B (b.3) Bx C (b.4) A x T (b.5) A (Bx C) (b.6) B x (C x Ã) (c) Suppose t = 1, determine the angle between A and Cin radians.
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