Classical Dynamics of Particles and Systems · Problem 1-13

Newtonian Mechanics—Single Particle — Marion & Thornton

Physics — Mechanics · vector-algebra

Problem

\mathbf{X}

is an unknown vector satisfying the following relations involving the known vectors

\mathbf{A}

and

\mathbf{B}

and the scalar

\phi

\mathbf{A} \times \mathbf{X} = \mathbf{B}, \quad \mathbf{A} \cdot \mathbf{X} = \phi.

Express

\mathbf{X}

in terms of

\mathbf{A}

\mathbf{B}

\phi

, and the magnitude of

\mathbf{A}