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The angle between the lines 2x=3y=-z and...

The angle between the lines `2x=3y=-z and 6x=-y=-4z` is

A

`30^(@)`

B

`45^(@)`

C

`90^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
The given lines can be rewritten as `x/3=y/2=z/(-6) and x/2 =(y)/(-12)=z/(-3)`
Angle between the lines is
`theta=cos^(-1)((3xx2(-12)-(-3)(-6))/(sqrt(3^(2)+2^(2)+(-6)^(2))sqrt((2)^(2)+(-12)^(2)+(-3)^(2))))=0`
`theta=90^(@)`
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