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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2019/paper-2/11/a/i/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2019 / Paper 2 / 11 / a / i / Solution by

Codex  0 2026-10-18

Choose Cartesian coordinates with unit vectors satisfying the right-hand rule,

\hat{x} \times \hat{y} = \hat{z}

. Put

A

,

B

and

C

one unit along the positive

x

,

y

and

z

axes, respectively. The following original drawing also includes the vectors needed in the next part.

Figure 1.
Cartesian axes and three independent midpoint position vectors
. Details.

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