Three Dimensional Geometry
Find the equation of the plane passing through the point (1,−2,7) and parallel to the plane 5x+4y−11z=6.
If OABC is a tetrahedron where O is the origin and A, B, C are three other vertices with position vectors a⃗ , b⃗ and c⃗ respectively, then the centre of sphere circumscribing the tetrahedron is given by the position vector
The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗ =i^+j^ and c⃗ =j^+k^ and bisects the angle between b⃗ andc⃗ . Then which one of the following gives possible values of a and b?
The direction ratios of the normal to the plane passing through the points (1, -2, 3), (-1, 2, -1) and parallel to x−22=y+13=z4 is