Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Options:

a

b

c

d

Correct Answer:

b

Explanation:

$\vec n ⊥(\vec a)$ and $\vec n ⊥(\vec b)$

$⇒\vec n=\vec a×\vec b=-5\hat i+3\hat j+2\hat k$

So altitude = projection of $\vec c$ on $\vec n$

⇒ altitude = $\vec c.\vec n$

$=\frac{(-5+3+6)}{\sqrt{38}}$

altitude = $\frac{4}{\sqrt{38}}$