Cuboids

Two separate cuboids with different orientations are 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 answer:

a =  62.7801 °

Step-by-step explanation:

s=0.62955056⋅ 0.14484653+0.094432584⋅ 0.9208101+0.77119944⋅ 0.36211633≐0.4574 a=π180°​⋅arccos(s)=π180°​⋅arccos(0.4574)=62.7801∘=62°46′48"

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Showing 1 comment:
Matikar
use scalar products to determine angle between two 3D vectors (if direction cosines gives -> its unit vectors)





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