True or False and explain 1- For any two non parallel and non orthogonal vectors a and b with angle θ  between them, it holds that  cosθ(a.b) = sinθ(axb).   2- If r(t)=⟨−4cos(2t),3sin(3t),ln(2t)⟩, then the ∫r(t)dt is equal to ⟨−2sin(2t),−cos(3t),tlnt−t⟩+C, where C is a vector constant of integration.

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A: solution is given below

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A: Step 1:

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A: We can solve this using spherical co-ordinate matrix