Three Dimensional Geometry
Show that the lines −45−x=4y−7=−5z+3 and 7x−8=22y−8=3z−5 are coplanar. Find the equation of the plane containing these lines.
If P1:r.n1−d1=0 P2:r.n2−d2=0 and P3:r.n3−d3=0 are three non-coplanar vectors, then three lines P1=0, P2=0; P2=0,P3=0 ; P3=0 P1=0 are
The ratio in which the line segment joining the points whose position vectors are 2i^−4j^−7k^and−3i^+5j^−8k^ is divided by the plane whose equation is r^i^−2j^+3k^˙=13 is a. 13:12 internally b. 12:25 externally c. 13:25 internally d. 37:25 internally
The equation of the plane which passes through the point of intersection of lines 3x−1=1y−2=2z−3,and1x−3=2y−1=3z−2 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y−5z=2