Vector Algebra Question 390

Question: If the vectors $ a,\mathbf{i}-2\mathbf{j}+3\mathbf{k} $ and $ 3\mathbf{i}+6\mathbf{j}-5\mathbf{k} $ are perpendicular to each other, then a is given by

[MP PET 1993]

Options:

A) 9

B) 16

C) 25

D) 36

Show Answer

Answer:

Correct Answer: A

Solution:

  • Obviously, $ 3a-12-15=0\Rightarrow a=9. $