Express the polar equation `r=2costheta` in rectangular coordinates.

Write an expression for an acceleration of rectangular components.

The vertices of Delta ABC lie on a rectangular hyperbola such that the orthocenter of the triangle is (3, 2) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). The equation of the rectangular hyperbola is

A vector a has components a_1,a_2,a_3 in a right handed rectangular cartesian coordinate system OXYZ the coordinate axis is rotated about z axis through an angle pi/2 . The components of a in the new system

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

The expression for torque in polar co-ordinates is …..

Convert y=10 into a polar equation.

Find the equation of the curve whose parametric equation are x=1+4costheta,y=2+3sintheta,theta in Rdot

Solve that equation : costheta+cos3theta-2cos2theta=0

Find the minimum distance of any point on the line 3x+4y-10=0 from the origin using polar coordinates.