Cuboids

Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)

Correct result:

a =  62.7801 °

Solution:

s=0.62955056 0.14484653+0.094432584 0.9208101+0.77119944 0.362116330.4574 a=180πarccos(s)=180πarccos(0.4574)=62.7801=624648"



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Matikar
use scalar products to determine angle between two 3D vectors (if direction cosines gives -> its unit vectors)

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