1.

Let a=hati+hatj+hatk, b=hati-hatj+2hatk and c=x hati+(x-2) hatj-hatk. If the vector c lies in the plane of a and b, then x equal to

Answer»

0
1
`-4`
`-2`

SOLUTION :SINCE, givenvectorsa, b and c are coplanar.
`:. |{:(1,1,1),(1,-1,2),(x,x-2,-1):}| = 0`
`rArr 1{1-2(x-2)} -1(-1-2X)+ 1(x-2 +x) = 0`
`rArr1 -2x + 4 + 1 + 2x + 2x- 2= 0`
`rArr 2x = - 4`
`x = - 2`


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