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Mechanics & vectors · SS1–SS2

Vectors

Vectors in two dimensions: components, magnitude, the dot product and resolving.

Before this
Vectors & transformations
Leads to
Statics: forces, equilibrium & momentsKinematics & dynamics

Learn

  1. 1Vectors in components, magnitudes and bearingsVectors in i, j form, unit vectors and vectors of a given length, changing between a magnitude and bearing and components, resultants of several forces, and unknown scalars.Done20 min
  2. 2Position vectors and geometryUse position vectors to find the fourth vertex of a parallelogram, the point dividing a line in a given ratio, and to show that three points are collinear.Done16 min
  3. 3The scalar productThe scalar (dot) product a·b, the angle between two vectors, perpendicular vectors, and finding unknowns from an angle or from |a + b|.Done16 min

Flashcards

10 cards: the rules, facts and methods to know by heart, with the diagrams from the lessons. They come back until you know them.

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Practise

Answer vectors questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (71)

From 2008–2023: 65 WAEC, 6 NECO. Theory questions first, then objective, newest first.

Theory (58)

Objective (13)