The angle between the planes `3x+4y+5z=3` and `4x-3y+5z=2` is ?

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Q 1367123085.     The angle between the planes `3x+4y+5z=3` and `4x-3y+5z=2` is ?
A

`frac{pi}{3}`

B

`frac{pi}{6}`

C

`frac{pi}{4}`

D

`frac{pi}{2}`

HINT

equations of the given two planes , `vec n_1=(3,4,5)` and `vec n_2=(4,-3,5)` `therefore` Angle between them is given by `cos theta=frac{(3,4,5).(4,-3,5)}{sqrt {50}.sqrt {50}}`

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

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