Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The value of c so that for all real x, the vectors $cx\vec i-6\vec j+3\vec k,\,x\vec i+2\vec j+2cx\vec k$ make an obtuse angle are:

Options:

c < 0

0 < c < 4/3

-4/3 < c < 0

c > 0

Correct Answer:

-4/3 < c < 0

Explanation:

$cx^2-12+6cx<0$ $∀x∈R$

$D<0$ & $c<0$

$36c^2+48c<0$

$⇒-\frac{4}{3}<c<0$