question_answer

Let\[a=\hat{i}-\hat{k},b=x\hat{i}+\hat{j}+(1-x)\hat{k}\]and \[c=y\hat{i}+x\hat{j}+(1+x-y)\hat{k}\]. Then,\[[a\,\,b\,\,c]\]depends on     AIEEE  Solved  Paper-2005

A) neither\[x\]nor y

B) both\[x\]and y

C) only \[x\]

D) only y

Correct Answer: A

Solution :

Ifand Then, Now,   Applying Thus, [a b c] does not depend upon neither x nor y