" Expression for length of sub-normal in Cartesian form is "

Cartesian form OF line in 3D

Derive an expression for torque in cartesian co-ordinates.

Derive expression for torque in cartesian co-ordinate system.

The value of n for which the length of the sub- normal at any point of the curve y^(3)=a^(1-n)x^(2n) must be constant is

At any point on the curve y=f(x), the length of the sub normal is constant, then the curve is

Express cross and dot product of two vectors in Cartesian coordinate.

For the curve 4x^(5)=5y^(4) , the ratio of the cube of the sub-tangent at a point on the curve to the square of the sub-normal at the same point is :