+33653 Unit vector in x-direction ux = i
A.ux = |A|*|ux|*cos(thetax)
(3i- 6j + 2k).(i) = 3 (because i.i = 1, j.i = k.i = 0)
|A| = sqrt(3^2 + 6^2 + 2^2) → 7
|i| = 1
Hence: 3 = 7*1*cos(thetax)
cos(thetax) = 3/7
thetax ≈ 64.6 degrees
Do a similar calculation for y and z, bearing in mind that the unit vector in the y direction is j, that in the z direction is k, and i.j = k.j = 0, j.j = 1, k.i = k.j = 0, k.k = 1
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