dationholdfor two vectors a and bQ.12 If the vectors 3i +j-k and 2 I-4iparamer , find valueof 2If a =i-2j+k, b=i+2j-4k, c= 2i – 3j + k Evaluate:(axb).( a x c )If a =i+ 3j-7k and b = 5i- 2j + 4k. Find:Q.13(i)(ii)(аxb)x(ахс)0.14(i)ii)ax ba. b(iii)Direction cosines of a x bQ.15 Prove that for the vectors a and b(i)ax b+ a.b

The objective of the question is evaluate the cross and dot product of the given vectors.

Answered: Q.13 If a =i-2j +k, b=i+2j-4k, c=2i-3j…

Math

Calculus

Q.13 If a =i-2j +k, b=i+2j-4k, c=2i-3j +kEvaluate: (axb )x( ax c) (i) (axb).( ax c) (ii)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

dation
hold
for two vectors a and b
Q.12 If the vectors 3i +j-k and 2 I-4i
paramer , find value
of 2
If a =i-2j+k, b=i+2j-4k, c= 2i – 3j + k Evaluate:
(axb).( a x c )
If a =i+ 3j-7k and b = 5i- 2j + 4k. Find:
Q.13
(i)
(ii)
(аxb)x(ахс)
0.14
(i)
ii)
ax b
a. b
(iii)
Direction cosines of a x b
Q.15 Prove that for the vectors a and b
(i)
ax b
+ a.b

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