Find the angle between the line and the plane
Find the angle between the line and the plane

The equation of line is:

$\stackrel{\to }{r}=\left(3\stackrel{^}{i}+\stackrel{^}{k}\right)+\lambda \left(\stackrel{^}{j}+\stackrel{^}{k}\right)$

\vec{r}=(3 \hat{i}+\hat{k})+\lambda(\hat {j}+\hat{k})

Comparing with

.

The equation of plane is:

(2 \hat{i}-\hat{j}+2 \hat{k})=1\vec{r} \cdot \vec{n}=0\vec{n}=(2 \hat{i}-\hat{j}+2 \hat{k})\theta\$ ‘ be the angle between line and plane