A particle is acted on by a resultant force (4i−j)(4\mathbf{i}-\mathbf{j})(4i−j) N, where i\mathbf{i}i points east and j\mathbf{j}j points north.
Find the magnitude of the resultant force.
Find the bearing on which the resultant force acts. Give your answer to the nearest degree.
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.