3,094 questions
In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 4x + 8y + z – 8 = 0 and y + z – 4 = 0
The vector and cartesian equations of the planes that passes through the point (1, 0, – 2) and the normal to the plane is
The perpendicular bisector of a line segment with end points (1,2,6) and (−3,6,2) passes through (−6,2,4) and has the equation of the form (Where l,m,n are integers, l is a prime...
If a line makes angles 90∘, 135∘, 45∘ with the x, y and z – axes respectively, find its direction cosines.
The angle θ between the planes A1x + B1y + C1z + D1 = 0 and A2 x + B2 y + C2 z + D2 = 0 is given by
In the vector form, equation of a plane which is at a distance d from the origin, and is the unit vector normal to the plane through the origin is
