Vector Algebra Question 3

Question: If the vectors $a \hat{i}+2 \hat{j}+3 \hat{k}$ and $-\hat{i}+5 \hat{j}+a \hat{k}$ are perpendicular to each other, then $a=$

[MP PET 1996]

Options:

A) 6

B) - 6

C) 5

D) - 5

Show Answer

Answer:

Correct Answer: D

Solution:

  • Accordingly, $ a\times (-1)+2(5)+3(a)=0\Rightarrow a=-5 $ .