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If three vectors xa-2b+3c, -2a+yb-4c and...

If three vectors `xa-2b+3c, -2a+yb-4c` and `-zb+3c` are coplanar, where `a,b` and `c` are unit (or any) vectors then

A

`xy+3zx-3z=4`

B

`2xy-3zx-3z-4=0`

C

`4xy-3zx-3z=4`

D

`xy-2zx-3z-4=0`

Text Solution

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(d) Condition of coplanarity, `|(x,-2,3),(-2,y,-4),(0,-z,3)|=0`
`impliesx(2-4z)+2(-4-0)+3(2z-0)=0`
`implies2xy-4zx-8+6z=0` ltbrrgt `impliesxy-2zx-4+3z=0`
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