(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Be the vectors a, b, c such as:

| a | = | b | = | c | = 10.5 Angstron

The angles between these vectors are:

alpha = beta = gamma = 109.5 degree

These vectors represent the lattice vectors of a crystal.

Find out their components (a_1, a_2, a_3, b_1, b_2, b_3, c_1, c_2, c_3).

2. Relevant equations

3. The attempt at a solution

So, we know the length of the vectors and the angle between them. We want to find out the components of each vector. I know one has to use the trigonometric functions, but I am not sure how. Should I project the vector a on b (to find a_2) and on c (to find a_3) ? Or how do I find the components of a ?

Thank you very much for any fast answer/hint/suggestion,

Eduard

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# Vector question

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