Find the angel between the line vec ...

Find the angel between the line ` vec r=( vec i+2 vec j- vec k)+lambda( vec i- vec j+ vec k)` and the normal to the plane ` vec rdot(2 vec i- vec j+ vec k)=4.`

A

`sin^(-1) ((2 sqrt2)/(3))`

B

`cos^(-1) ((2 sqrt2)/(3))`

C

`tan^(-1) ((2sqrt2)/(3))`

D

`cot^(-1) ((2sqrt2)/(3))`

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The correct Answer is:

A

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