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4.11 Vectors (A-level only)

4.11 Vectors (A-level only)

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Question 44

Relative to a fixed origin OOO, the point A A\,A has position vector (3i+4j−2k)(3\mathbf{i} + 4\mathbf{j} - 2\mathbf{k})(3i+4j−2k), the point B B\,B has position vector (7i−5j+3k)(7\mathbf{i} - 5\mathbf{j} + 3\mathbf{k})(7i−5j+3k), and the point C C\,C has position vector (ai+3j−4k)(a\mathbf{i} + 3\mathbf{j} - 4\mathbf{k})(ai+3j−4k), where a a\,a is a constant and a>0a > 0a>0.

The point D D\,D is such that AB⃗=BD⃗\vec{AB} = \vec{BD}AB=BD.

a.

Find the position vector of DDD.

[2]
b.

Given that ∣AC⃗∣=5\left|\vec{AC}\right| = 5​AC​=5, find the exact value of aaa.

[3]
Markscheme

4.11 Vectors (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.11 Vectors (A-level only)

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.

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