Test: Cartesian Coordinate System - Electrical Engineering (EE) MCQ

The other name for Cartesian is rectangular system, which is given by (x,y,z).

 Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.

The dot product the vector is 8. Angle of separation is cos θ = 8/ (7.07 X 3) = 0.377 and θ = cos^-1(0.377) = 67.8.

Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.

The coordinate system is chosen based on the geometry of the given problem. From a point charge +Q, the electric field spreads in all 360 degrees. The calculation of electric field in this case will be spherical system.

The order of vector transformation and point substitution will not affect the result, only when the vector is a constant.

Substitute the points in the vector and convert the Cartesian to cylindrical form to get radius as 7, plane angle1 as 64.62 and plane angle2 as -71.57.

All the coordinate systems are inter-convertible and all the vector operations are applicable to it.

The range of Cartesian system is one to infinity. Thus the minimum scalar value of the system is unity.

The volume of a parallelepiped is given by product of differential length, breadth and height.