Three Dimensional Geometry
A line OP through origin O is inclined at 300and450→OXandOY, respectivley. Then find the angle at which it is inclined to OZ˙
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?
Find the radius of the circular section in which the sphere ∣r∣=5 is cut by the plane ri^+j^+k^˙=33.
The line joining the points (−2,1,−8)and(a,b,c) is parallel to the line whose direction ratios are 6,2,and3. Find the values of a,bandc
A mirror and source of light are situated at the origin O and a point on OX respectively. A ray of light from the source strikes the mirror and is reflected. If the DRs of the normal to the plane of mirror are 1,−1,1, then DCs for the reflacted ray are :
A line passes through the points (6,−7,−1)and(2,−3,1)˙ Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.