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The image of the line (x-2)/(2)=(y-3)/(-...

The image of the line `(x-2)/(2)=(y-3)/(-3)=(z-4)/(1)` in the plane `x+y+z=6` can be

A

`vecr=lambda (2hati-3hatj+hatk)`

B

`vecr=(2hati+hatj+hatk)+alpha(2hati-3hatj+hatk)`

C

`vecr=(hatj+2hatk)+beta(2hati-3hatj+hatk)`

D

`vecr=(hati+2hatj)+u(2hati-3hatj+hatk)`

Text Solution

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The correct Answer is:
C
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The image of the line (x-1)/(3)=(y-3)/(1)=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1)(x+3)/(3)=(y-5)/(1)=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/(5) (3) (x-3)/(3)=(y+5)/(1)=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/(5)

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