Three Dimensional Geometry
The system of linear equations x+2y+4z=a,3x−y+5z=b,2x−3y+z=c have more than two solutions then which of following is true (A) b−a−c=0 (B) c−a−b=0 (C) a−b−c=0 (D) a+b+c=0
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the length and the foot of the perpendicular drawn from the point (1,1,2) to the plane r⋅(2i^−2j^+4k^)+5=0.
If a line makes angles α,β and γ with the x-axis, y-axis and z-axis respectively then (sin2α +sin2β +sin2γ )=
Show that the lines r=(2j^−3k^)+λ(i^+2j^+3k^) and r=(2i^+6j^+3k^)+μ(2i^+3j^+4k^) are coplanar.Also find the equation of the plane containing these lines.
A line is perpendicular to two lines having direction ratios 1,−2,−2 and 0,2,1. The direction cosines of the line are
The straight-line 3x−2=1y−3=0z+1 is
Find the vector and Cartesian equations of a plane which is at a distance of 5 units from the origin and which has 3i^−2j^+6k^ as the unit vector normal to it.
Find the distance between the parallel planes 2x+3y+4z=4 and 4x+6y+8z=12.
The Cartesian equations of a line are 2x−1=3y+2=15−z. Find its vetor equation.