Three Dimensional Geometry
Find the acute angle between the following planes.
r⋅(i^+j^−2k^)=5 and r⋅(2i^+2j^−k^)=9.
Find ten equation of the plane passing through the point (0,7,−7) and containing the line −3x+1=2y−3=1z+2 .
The centre of the circle given by ri^+2j^+2k^˙=15and∣∣r−(j^+2k^)∣∣=4 is a. (0,1,2) b. (1,3,5) c. (−1,3,4) d. none of these
Find the equation of plane which is at a distance 144 from the origin and is normal to vector 2i^+j^−3k^˙
If Q is the image of the point P(2, 3, 4) under the reflection in the plane x−2y+5z=6, then the equation of the line PQis