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If a=hati+hatj+hatk, b=hati-hatj+2hatk and c=xhati+(x-2)hatj-hatk and if the vector c lies in the plane of vectors a and b, then x equals |
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Answer» 0 and `c=xhati+(x-2)hatj-hatk` Since, c lies in the plane of VECTORS a and b, THEREFORE a, b and c are coplanar. `therefore |(1,1,1),(1,-1,2),(x,(x-2),-1)|=0` `implies 1(1-2x+4)-1(-1-2x)+1(x-2+x)=0` `implies 5-2x+1+2x+2x-2=0` `implies x = - 2 ` |
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