For Exercises 19-26, let f(x, y) and g(x, y) be continuously differentiable real-valued func- tions, let c be a constant, and let v be a unit vector in R2. Show that: 26. D.(fg)=fDg+gDvf

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Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

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Q: wn words, describe how to apply Langranges

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A: Given: v=1c. w=2-1 Vector v and w are orthogonal only if the dot product of vectors is zero.

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Q: f(x, y, z)=1/√√√x² + y² + z² P(-1,2,2) = -3i+27-3k

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Q: ] Find the unit vector whose j and k components are both positive and equal to one another and that…

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Q: Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? %3D

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Q: Why is r(t) = ⟨ƒ(t), g(t), h(t)⟩ called a vector-valued function?

A: Given r(t) = ⟨ƒ(t), g(t), h(t)⟩. We need to give reason why r(t) is called vector-valued function.

Q: For the vector valued function below, 1. Find the domain of each component. 2. Find the domain for…

A: Please see the below answer.