Three Dimensional Geometry
The direction ratios of normal of a plane passing through two points (0,1,0) & (0,0,1) and makes an angle 4π with the plane y−z−5=0 are (A) (2,−2,2) (B) (2,−1,1) (C) (2,1,1) (D) (2,2,1)
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Write the equation of the plane whose intercepts on the coordinate axes are 2,−4 and 5 respectively.
The Cartesian equations of a line are 2x−1=3y+2=15−z. Find its vetor equation.
For the following planes, find the direction cosines of the normal to the plane and the distance of the plane from the origin.2x+3y−z=5.
Find the vector equation of the plane passing through the point (1,1,1) and parallel to the plane r⋅(2i^−j^+2k^)=5.
Find the vector equation of the plane through the point (3i^+4j^−k^) and parallel to the plane r⋅(2i^−3j^+5k^)+5=0.
Find the value of m for which the line r=(i^+2k^)+λ(2i^−mj^−3k^) is parallel to the plane r⋅(mi^+3j^+k^)=4.
Find the direction cosines of the line 24−x=6y=31−z.
The vector equation of a line is r=(2i^+j^−4k^ )+λ(i^−j^−k^ ). find its Cartesian equation.