The point A A\,A has position vector 3i+4j−2k3\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}3i+4j−2k and the point B B\,B has position vector −4i+7j+5k-4\mathbf{i} + 7\mathbf{j} + 5\mathbf{k}−4i+7j+5k.
Find the vector AB⃗\vec{AB}AB.
Find ∣AB⃗∣\left|\vec{AB}\right|AB, giving your answer in exact form.
133 exam-style questions on WJEC A Level Maths 4.11 Vectors (A-level only), covering 4.11.1 Vectors (A-level only) and 4.11.2 Vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.