Three Dimensional Geometry
Find the equation of the plane passing through group of points.
A(2,2,−1),B(3,4,2) and C(7,0,6).
If the lines −3x−1=2ky−2=−2z−3and3kx−1=1y−5=−5z−6 are at right angle, then find the value of k˙
Find the vector equation of line passing through A(3,4−7)andB(1,−1,6)˙ Also find its Cartesian equations.
Find the equation of the plane passing through the straight line 2x−1=−3y+2=5z and perpendicular to the plane x−y+z+2=0.
If a line makes angles α,βandγ with threew-dimensional coordinate axes, respectively, then find the value of cos2α+cos2β+cos2γ˙
If r⃗ =(i^+2j^+3k^)+λ(i^+j^+k^) and r⃗ =(i^+2j^+3k^)+μ(i^+j^−k^) are two lines, then the equation of acute angle bisector of two lines is