Relative to a fixed origin OOO, the points AAA, B B\,B and C C\,C have position vectors
a=i+j+k\mathbf{a} = \mathbf{i} + \mathbf{j} + \mathbf{k}a=i+j+k, b=3i+3k\mathbf{b} = 3\mathbf{i} + 3\mathbf{k}b=3i+3k, c=2i+3j+3k\mathbf{c} = 2\mathbf{i} + 3\mathbf{j} + 3\mathbf{k}c=2i+3j+3k
Show that the triangle ABC ABC\,ABC is isosceles.
Find the exact area of the triangle ABCABCABC.
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.