Vectors in Two Dimensions: worked exam questions
8 solved vectors in two dimensions questions, each worked line by line the way the 0606 mark scheme rewards. Learn the method in the Vectors in Two Dimensions topic notes, then see it applied here.
Collinear Points Using Vectors
Show three points are collinear using position vectors and the idea of a scalar multiple, a 0606 vectors question on parallel vectors sharing a point.
Expressing a Vector as a Combination of Two Others
Find scalars λ and μ so that c = λa + μb by comparing components, a 0606 vectors question that becomes simultaneous equations.
Finding λ So That Two Vectors Are Parallel
Find the value of λ making two vectors parallel using the scalar-multiple condition, a short 0606 vectors question on the meaning of parallel.
Magnitude and the Unit Vector
Find the magnitude of a vector and the unit vector in its direction, a 0606 vectors question on the Pythagoras-style modulus and scaling to length one.
Position of a Particle Moving with Constant Velocity
Find a particle's position after a given time from its start point and constant velocity vector, a 0606 vectors kinematics question using r = r₀ + tv.
Position Vector of a Point Dividing a Line
Find the position vector of a point that divides AB in a given ratio using OP = OA + (fraction)·AB, a standard 0606 vectors question.
Position Vectors and the Displacement Between Points
Find the displacement vector AB from two position vectors and its magnitude, a 0606 vectors question on the 'destination minus origin' rule.
Resultant of Two Vectors and Its Magnitude
Add two vectors and find the magnitude of the resultant, a foundational 0606 vector question combining component addition with Pythagoras.
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