Pure · Vectors
Chapter 1 · 4
The idea
Modelling with vectors
Vectors as physical quantities — displacement, velocity and force — with constant-velocity motion r = r₀ + tv, speed as the magnitude of velocity, bearings from north, resultant forces and equilibrium, and "passes through O".
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Pure · Vectors
Modelling with vectors
Vectors as physical quantities — displacement, velocity and force — with constant-velocity motion r = r₀ + tv, speed as the magnitude of velocity, bearings from north, resultant forces and equilibrium, and "passes through O".
Why it works
Vectors in the physical world
Anything with a size and a direction is a vector, so vectors model the physical world: displacement (how far and which way), velocity (speed and heading), force (push and direction). In these questions you are usually told that points east and points north — that one sentence turns every navigation problem into column-vector arithmetic.Constant velocity
If a particle starts at position vector and moves with constant velocity , then after time its position isKeep reading — free
The rest of the explanation, plus 4 worked examples you step through move by move.
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