It is given that
∣3i+tj+2k∣=7\left|3\mathbf{i} + t\mathbf{j} + 2\mathbf{k}\right| = 7∣3i+tj+2k∣=7
where t t\,t is a constant.
Find the two possible values of ttt.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.