The points AAA, B B\,B and C C\,C have position vectors a=i+2j\mathbf{a} = \mathbf{i} + 2\mathbf{j}a=i+2j, b=5i+4j\mathbf{b} = 5\mathbf{i} + 4\mathbf{j}b=5i+4j and c=3i+8j\mathbf{c} = 3\mathbf{i} + 8\mathbf{j}c=3i+8j
Find ∣AB⃗∣\left|\vec{AB}\right|AB and ∣BC⃗∣\left|\vec{BC}\right|BC, giving your answers as surds in their simplest form.
Show that AB AB\,AB is perpendicular to BCBCBC.
37 exam-style questions on WJEC A Level Maths 1.9 Vectors, covering 1.9.1 Vectors, 1.9.2 Vectors, 1.9.3 Vectors, 1.9.4 Vectors, and 1.9 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.