Three Dimensional Geometry
Write the angle between the line 2x−1=1y−2=−2z+3 and the plane x+y+4=0.
If the straight lines x=−1+s,y=3−λs,z=1+λsandx=2t,y=1+t,z=2−t, with paramerters sandt, respectivley, are coplanar, then find λ˙
Find the equation of the plane passing through the points (1,0,−1)and(3,2,2) and parallel to the line x−1=21−y=3z−2˙
Find the equation of the sphere which passes through (10,0),(0,1,0)and(0,0,1) and whose centre lies on the plane 3x−y+z=2.
Find the point where line which passes through point (1,2,3) and is parallel to line r=i^+j^+2k^+λ(i^−2j^+3k^) meets the xy-plane.