A charged particle moves with velocity $\overrightarrow{\mathrm{v}}=\left(\mathrm{a}\widehat{\mathrm{i}}+\mathrm{d}\widehat{\mathrm{j}}\right)$ in a magnetic field $\overrightarrow{\mathrm{B}}=\left(\mathrm{A}\widehat{\mathrm{i}}+\mathrm{D}\widehat{\mathrm{j}}\right)$ the force acting on the particle has magnitude F