Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the line $\vec{r}=(\hat{i}-2\hat{j}+\hat{k})+\lambda (2\hat{i}+\hat{j}+2\hat{k})$ is parallel to the plane $\vec{r}. (3\hat{i}-2\hat{j}+m\hat{k})=14, $ then value of m is :

Options:

-1

2

1

-2

Correct Answer:

-2

Explanation:

The correct answer is Option (4) → -2

Line parallel to plane

$⇒(2\hat i+\hat j+2\hat k).(3\hat i-2\hat j+m\hat k)=0$

$6-2+2m=0$

$m=-2$