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Find the vector equation of the plane through the intersection of the planes `vec(r)*(hat(i)+hat(j)+hat(k))=6` and `vec(r)*(2hat(i)+3hat(j)+4hat(k))=-5` and the point (1,1,1).

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Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).

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Find the cartesian and vector equations of the planes passing through the intersection of te planes vec(r)*(2hat(i)+6hat(j))+12=0 and vec(r)*(3hat(i)-hat(j)-4hat(k))=0 which are at a unit distance from the origin.

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
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