Question

What are the perpendicular components of a tensor?

Answer 1

Hey mate ^_^

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Answer:
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Both are obviously equal to zero, due to the energy-momentum conservation, but they may result in different conclusions. Now check this attachment.

#Be Brainly❤️

Answer 2

The parallel component of FF parallel to VV just means a vector with magnitude |F|cosθ|F|cos⁡θ where θθ is the angle between FF and VV, and pointing in the direction of VV. This is also sometimes called "the projection of FF onto VV", or projVFprojVF

Since FF is already parallel to VV, the parallel component is just FF itself. For a general solution

projVF=|F|cosθV|V|=|F|F⋅V|F||V|V|V|=F⋅V|V|2VprojVF=|F|cos⁡θV|V|=|F|F⋅V|F||V|V|V|=F⋅V|V|2V

The perpendicular vector is just the difference of FF and the projection of FF

F⊥V=F−projVF