Let V be the first quadrant in the xy-plane; that is, let 0, a. If u and v are in V, is u + v in V ? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. (This is enough to show that V is not a vector space.)

Q: Let V be the set of vectors shown below. V= x> 0, y>0 a. If u and v are in V, is u +v in V? Why? b.…

A: Please check step 2 for solution.

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A: Given: v=2i+3j-k  w = -2i - 4j - 3k.

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Q: Consider (u, v) = 0 for any vectors u, v e R4. Is this an inner product? Explain why or why not. %3D

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Q: Determine the dimension of the vector space given by -a V = | a,b E R a b

A: Given V = -aa0, -b0b | a, b ∈ℝ

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Q: Let V be the set of vectors shown below. V= a. If u and v are in V, is u + v in V? Why? b. Find a…

A: Explanation of the answer is as follows

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A: f(x, y) = x^2/(x + y)

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Q: Make all obvious simplifications.

A: We have to solve

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Q: find the scalar projection of v onto w. Also find the vectorprojection of v onto w. v = (4, 1)T , w…

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Q: Find the projection of vector u⃗ = −i + 5j + 3k onto the vector v = −i + j − 3k?

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Q: Let H be the set of all points in the second quadrant in the plane V=R^2. That is, H={(x,y) | x ≤ 0,…

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