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Find the angle between the line (x-1)/(3...

Find the angle between the line `(x-1)/(3)=(y+1)/(2)=(z+2)/(4)` and the plane `2x + y - 3z + 4 = 0` .

A

`"sin"^(-1)((-8)/(sqrt(406)))`

B

`"sin"^(-1)((-4)/(sqrt(406)))`

C

`"sin"^(-1)((-16)/(sqrt(406)))`

D

`"sin"^(-1)((-2)/(sqrt(406)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Find the angle between the line (x-1)/(3)=(y-1)/(2)=(z-1)/(4) and the plane 2x+y-3z+4=0

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