1.

If A(2bar(i)-bar(j)-3bar(k)), B(4bar(i)+bar(j)-bar(k)), C(bar(i)-3bar(j)+2bar(k)), D(bar(i)-bar(j)-2bar(k)) then the vector equation of the plane parallel to bar(ABC) and passing through the centroid of the tetra-hedron ABCD is

Answer»

`bar(R)=(2BAR(i)-bar(J)-bar(k))+s(bar(i)+bar(j)+bar(k))+t(bar(i)+2bar(j)-5bar(k))`
`bar(r)=(2bar(i)-bar(j)+bar(k))+s(bar(i)-bar(j)+bar(k))+t(bar(i)+2bar(j)+5bar(k))`
`bar(r)=(2bar(i)+bar(j)-bar(k))+s(bar(i)+bar(j)-bar(k))+t(bar(i)-2bar(j)+5bar(k))`
`bar(r)=(2bar(i)+bar(j)+bar(k))+s(bar(i)-bar(j)-bar(k))+t(bar(i)+2bar(j)-5bar(k))`

Answer :A


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