Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If $\vec{A}, \vec{B}, \vec{C}$ are non-coplanar vectors then $\frac{\vec{A} . \vec{B} \times \vec{C}}{\vec{C} \times \vec{A} . \vec{B}}+\frac{\vec{B} . \vec{A} \times \vec{C}}{\vec{C} . \vec{A} \times \vec{B}}$ is equal to

Options:

3

0

1

none of there

Correct Answer:

0

Explanation:

$\frac{\vec{A}  \vec{B} \vec{C}}{\vec{C} \vec{A}  \vec{B}}+\frac{\vec{B}  \vec{A} \vec{C}}{\vec{C}  \vec{A} \vec{B}}$ = 1 – 1 = 0

Hence (2) is correct answer