Compute the projection of →a→ onto →b→ and the vector component of →a→ orthogonal to →b→. Let →a=⟨1,−4⟩ and b→=⟨5,6⟩.

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A: Solution:Given       P = (0, 1, 1) and Q = (2, 1, 0)F=<xy,z2,x>To sketch the graph of F

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A: To find the divergence of the given vector field.

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A: Dimension of vector space is number of element in basis

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Q: 3) Determine whether or not the following 3D vector fields are conservative: a) (y²-z³)i + (2xy +…

A: As per the company rules we are supposed to answer only the first question and rest can be reposted.

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Q: 10. Show that V = R² with the standard scalar multiplication, but addition defined by (x, , y.) +…

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Q: Find the potential function for the vector field given as 8. F(x, y, z) = 4 O a. $(x, y, z) = x³y³z²…

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Q: The projection of y onto i is a scalar multiple of y.

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Q: Let V be n-dimensional vector space over c en for any n scalars ₁, ... , E F there-

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A: A detailed solution is given below.

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A: consider the following

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Q: Compute and sketch the vector assigned to the points P = (0, 8, 8) and Q = (7, 1, 0) by the vector…

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Q: ƏF dF = (dr. V)F+ -dt. at

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A: Let's find.

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