Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the vectors $p\hat i+\hat j+\hat k, \hat i+q\hat j+\hat k$ and $\hat i+\hat j+r\hat k (p≠q≠r≠1)$ are coplanar, then the value of $pqr-(p+q+r)$, is

Options:

0

-1

-2

2

Correct Answer:

-2

Explanation:

If given vectors are coplanar, then

$\begin{vmatrix}p&1&1\\1&q&1\\1&1&r\end{vmatrix}=0⇒ pqr-(p+q+r)=-2$