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 $ .