A Vector P of magnitude 3.0 N acts towards the right and a vector Q of magnitude 4.0 N acts upwards. What is the magnitude and direction of the vector (P - Q)?

Question

Please show your process.

Answer 1

The magnitude is calculated using the Pythagorean Theorem: |P - Q| = √(3² + 4²) = 5

The direction is calculated using inverse tangent: θ = tan^-1(-4/3) = -53° or 53° below horizontal right