Three Dimensional Geometry
If the line, 2x−3=−1y+2=3z+4lies in the place, lx+my−z=9, then l2+m2is equal to:
The equation of the plane passing through the intersection of the planes 3x−y+2z−4=0 and x+y+z−2=0 and passing through the point A(2,2,1) is given by?
Show that the line r=(2i^+5j^+7k^)+λ(i^+3j^+4k^) is parallel to the plane r⋅(i^+j^−k^)=7. Also, find the distance between them.
The coordinates of the point where the line through the points A(5,1,6) and B(3,4,1) crosses the yz-plane is
Find the vector and Cartesian forms of the equations of the plane containing the two lines r=(i^+2j^−4k^)+λ(2i^+3j^+6k^) and r=(3i^+3j^−5k^)+μ(−2i^+3j^+8k^).