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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 |
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Answer» 0 `:. |{:(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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