Three Dimensional Geometry
Find the angle between the vectors r 1=(3i^−2j^+k^ ) and r 2=(4i^+5j^+7k^ )
Show that the lines −3x+1=2y−3=1z+2 and 1x=−3y−7=2z+7 are coplanar. Find the equation of the plane containing these lines.
Find the vector equation of a line passing through the point (1,2,3) and parallel to the vector (3i^+2j^−2k^ )
Find the equation of a plane which is at a distance of 33 units from the origin and the normal to which is equally inclined to the coordinate axes.