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three vectors are given by a=3i+3j-2k,b=-i-4k+2k,c=2i+2j+2k,is a*(bc)=b*(ca)? defend your answer

three vectors are given by a=3i+3j-2k,b=-i-4k+2k,c=2i+2j+2k,is a*(bc)=b*(ca)? defend your answer

Grade:9

1 Answers

Arun
25750 Points
6 years ago
Dear student

you can check
LHS
a X (b.c) = (3i + 3j –2k) X ( –2 –8 + 4)
=  –18 i  – 18j + 12k
RHS
b X (c.a) = ( –i – 4j + 2k) X (6 + 6 – 4)
= –8i – 32j + 16 k 
LHS is not equal to RHS 

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