Three Dimensional Geometry
Find the distance between the parallel planes 2x+3y+4z=4 and 4x+6y+8z=12.
Find the angel between the following pair of lines: r=2i^−5j^+k^+λ(3i^+2j^+6k^)andr=7i^−6k^+μ(i^+2j^+2k^) 2x=2y=1zand4x−5=1y−2=8z−3
A line makes 45∘ with positive x-axis and makes equal angles with positive y, z axes, respectively. What is the sum of the three angles which the line makes with positive x, y and z axes?
The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point(0,172,−132). Then
If a line makes angles α,βandγ with threew-dimensional coordinate axes, respectively, then find the value of cos2α+cos2β+cos2γ˙