Vectors `5hati+yhatj+hatk,2hati+2hatj-2hatk` and `-hati+2hatj+2hatk` are coplaner then find the value of y.
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Condition of coplaner `veca(vecbxxvecc)=|{:(a_(x),a_(y),a_(z)),(b_(x),b_(y),b_(z)):}|=0rArr|{:(2,2,-2),(5,y,1),(-1,2,2):}|=0` `2(2y-2)-2(11)-2(10+y)=0rArr4y-4-22-20-2y=0rArr2y=46rArry=23`
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