Three Dimensional Geometry
Find the angle between the line joining the points A(3,−4,−2) and B(12,2,0) and the plane 3x−y+z=1.
A line makes angles, θ,ϕ and ψ with x, y, z axes respectively. Consider the following:1.sin2θ+sin2ϕ=cos2ψ2. cos2θ+cos2ϕ=sin2ψ3.sin2θ+cos2ϕ=cos2ψWhich of the above is/are correct?
The direction ratios of the normal to the plane passing through the points (1, -2, 3), (-1, 2, -1) and parallel to x−22=y+13=z4 is
Find the equation of the sphere described on the joint of points AandB having position vectors 2i^+6j^−7k^and−2i^+4j^−3k^, respectively, as the diameter. Find the center and the radius of the sphere.
A ray of light passing through the point A(1,2,3) , strikews the plane xy+z=12atB and on reflection passes through point C(3,5,9)˙ Find the coordinate so point B˙
Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0and2lm+2nl−mn=0.