A simplified relativistic force transformation equation is derived and then used to obtain the equation for the electromagnetic force on a charged particle, calculate the electromagnetic fields due to a point charge with constant velocity, transform electromagnetic fields in general, derive the Biot‐Savart law, and show that the constant of proportionality in Coulomb’s law is equal to the speed of light squared times the constant of proportionality in the Biot‐Savart law. All is done with simple vector algebra without using four vectors, tensors, or Maxwell’s equations. The simplification results from the fact that when one takes the usual force transformation law: F′=A(U)F, and rewrites it using the inverse transformation matrix, as F=A−1(U)F′, the resulting expression is more simple becauseA−1(U) is linear in the velocity, U butA(U) is not.