Three Dimensional Geometry
Find the angle between the line r=(2i^−j^+3k^)+λ(3i^−j^+2k^) and the plane r⋅(i^+j^+k^)=3.
Given the line L:x−13=y+12=z−3−1 and the planeπ:x−2y=z. of the following assertions, the only one that is always true is
The point of intersecting of the line passing through (0,0,1) and intersecting the lines x+2y+z=1,−x+y−2z=2andx+y=2,x+z=2 with xy-plane is
ABC is a triangle and A=(2,3,5),B=(-1,3,2) and C= (λ,5,μ). If the median through A is equally inclined to the axes, then find the value of λ and μ
Value ofλ such that the linex−12=y−13=z−1λIs perpendicular to normal to the planer⃗ .(2i⃗ +3j⃗ +4k⃗ )=0 is
A line makes the same angle α with each of the x and y axes. If the angleθ, which it makes with the z-axis, is such thatsin2θ=2sin2α, then what is the value ofα?