Question

many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. shows the components of \ (\texttip{\vec{F}}{F_vec}\), \(\texttip{F_{\mit x}}{F_x}\) and \(\texttip{F_{\mit y}}{F_y}\), along the x and y axes of the coordinate system, respectively. The components of a vector depend on the coordinate system's orientation, the key being the angle between the vector and the coordinate axes, often designated \(\texttip{\theta} {theta}\). The figure shows the standard way of measuring the angle. The angle \(\texttip{\theta }{theta}\) is measured to the vector from the x axis, and counterclockwise is positive. Express \(\texttip{F_{\mit x}}{F_x}\) and \(\texttip{F_{\mit y}}{F_y}\) in terms of the length of the vector \(\texttip{F}{F}\) and the angle \ (\texttip{\theta }{theta}\), with the components separated by a comma.

Answer 1

The question is not at all clear ,I am just expressing the x and y componets in terms of F and θ