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.

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Answer
-u + v
let's continue with Questions 2 and 3.
For Questions 2 and 3, refer to the new diagram where:
Question 2: Express in terms of , , and .
Step 1: Use the triangle rule for vector addition. To go from B to D, we can follow the path from B to A, then from A to D.
Step 2: Substitute the given vectors. We know , so . We are given . The expression for is .
Question 3: Express in terms of , , and .
Step 1: Use the triangle rule for vector addition. To go from B to C, we can follow the path from B to A, then from A to C.
Step 2: Substitute the given vectors. We know , so . We are given . The expression for is .
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For Questions 2 and 3, refer to the new diagram where: AB = u AD = v AC = w Question 2: Express BD in terms of u, v, and w.
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.