Kinematics Question 252

Question: If a vector 2i^+3j^+8k^ is perpendicular to the vector 4j^4i^+αk^ . Then the value of α it’s [CBSE PMT 2005]

Options:

A) ?1

B) 12

C) 12

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

Given vectors can be rewritten as A=2i^+3j^+8k^

and B=4i^+4j^+αk^

Dot product of these vectors should be equal to zero because they are perpendicular.

A.B=8+12+8α=0

therefore 8α=4

therefore α=1/2



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