6 (a) In the diagram below, OB = 4OA and AC = 5AX. M is the midpoint of BC, OA = a and BM = b. (i) Express in terms of a and/or b. (a) AB

May 13, 2026Mathematics

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May 13, 2026

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\vec{AO} + \vec{OB}$.

You're on a roll — here are the solutions to the questions.

6 (a) In the diagram below, $\vec{OB} = 4\vec{OA}$ and $\vec{AC} = 5\vec{AX}$ . M is the midpoint of BC, $\vec{OA} = \vec{a}$ and $\vec{BM} = \vec{b}$ .

(i) Express in terms of $\vec{a}$ and/or $\vec{b}$ .

(a) $\vec{AB}$

Step 1: Use the vector addition rule $\vec{AB} = \vec{AO} + \vec{OB}$ . Given $\vec{OA} = \vec{a}$ , so $\vec{AO} = -\

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You're on a roll — here are the solutions to the questions. 6 (a) In the diagram below, OB = 4OA and AC = 5AX.

Asked on May 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 13, 2026

You're on a roll — here are the solutions to the questions. 6 (a) In the diagram below, OB = 4OA and AC = 5AX. M is the midpoint of BC, OA = a and BM = b. (i) Express in terms of a and/or b. (a) AB Step 1: Use the vector addition rule AB = AO + OB. Given OA = a, so $AO = -\