Three Dimensional Geometry
A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),andC(−1,1,2),then angle between face OABandABCwill bea. cos−1(3117) b. 300 c. 900 d. cos−1(3519)
If the equations of a line are −33−x=−2y+2=6z+2, find the direction cosines of a line parallel to the given line.
Find the equation of the plane passing thorugh the line of intersection of the planes 2x−y=0 and 3z−y=0, and perpendicular to the plane 4x+5y−3z=9.
A line makes angles 90o,135o and 45o with positive directions of x-axis, y-axis and z-axis respectively. What are the direction cosines of the line?