1.

P and Q are points on the straight line passing to the vector 2 hat(i)-hat(j)- hat (k) and parallel to the vector 2 hat(i)-hat(j)+2 hat (k) , If AP=AQ=3 , then the vector equation of the plane OPQ is

Answer»

`R=(s+5t) HAT(i)+2s hat(J)+ (t-3s) hat (k)`
`r= (3 hat(i)+ hat(j)- hat(k))+s(2 hat(i)- hat(j)+2 hat(k))+t (5 hat(i)+hat(k))`
`r= (s+5t)hat(i)+2s hat(j)+(5S +t)hat(k)`
`r= (3t-s)hat(i)+2s hat(j)+(t-3s)hat (k)`

Answer :A


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