defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Vector Algebra Types of Vectors
Let \(P(3,2,6)\) be a point in space and \(Q\) be a point on the line \(\vec{r}=(\hat{i}-\hat{j}+2\hat{k})+\mu(-3\hat{i}+\hat{j}+5\hat{k})\). Then the value of \(\mu\) for which the vector \(\vec{PQ}\) is parallel to the plane \(x-4y+3z=1\) is:
1
\(\dfrac{1}{4}\)
2
\(-\dfrac{1}{4}\)
3
\(\dfrac{1}{8}\)
4
\(-\dfrac{1}{8}\)