What is the angle between following planes `2x-3y+4z=1 ` and `-x+y=4` ?

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Q 1431680522.     What is the angle between following planes `2x-3y+4z=1 ` and `-x+y=4` ?
A

`cos^{-1} frac{5}{ sqrt{58}}`

B

` cos^{-1} frac{-5}{ sqrt{58}}`

C

`cos^{-1} frac{-5}{ sqrt{38}}`

D

`cos^{-1} frac{3}{ sqrt{38}}`

E

HINT

The angle between two planes is the angle between the normals to the two planes. `theta= cos^{-1} ( frac{ vec n_1. vec n_2}{| vec n_1|| vec n_2|} )`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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