Three Dimensional Geometry
Find the distance of the point (2,1,−1) from the plane x−2y+4z=9.
Consider the following relations among the anglesα, β and γ made by a vector with the coordinate axesI.cos2α+cos2β+cos2γ=−1II. sin2α+sin2β+sin2γ=1Whichoftheaboveiasrecorrect?
Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (−1,0,2)˙
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˙