Three Dimensional Geometry
Let the line 3x−2=−5y−1=2z+2lie in the plane x+3yαz+β=0. Then (α,β) equals
If OABC is a tetrahedron where O is the origin and A, B, C are three other vertices with position vectors a⃗ , b⃗ and c⃗ respectively, then the centre of sphere circumscribing the tetrahedron is given by the position vector
If α,β,andγ are the an gles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of sin2α+sin2β+sin2γ˙
The equation of the line which passes through the point (1, 1, 1) and intersect the lines x−12=y−23=z−34 and x+21=y−32=z+14 is
Find the equation of the plane which is parallel to the lines r=i^+j^+λ(2i^+j^+4k^)and−3x+1=2y−3=1z+2 and is passing through the point (0,1,−1 ).