1. For the 3-node triangular graph in the figure following, write the 3 by 3 incidence matrix A. Find a solution to Ax = 0 and describe all other vectors in the nullspace of A. Find a solution to ATy = 0 and describe all other vectors in the left nullspace of A. edge 1 node 2 node 1 edge 2 edge 3 node 3 x2 Y1 Y4 x1 Y5 X4 Y3 Y6 Y2 x3

Q: Find the dot product of the following vectors →uu→ and →vv→.. Refer to image below →uu→ ⋅⋅…

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Q: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

Q: -21 6. Find h so that the vectors 1 is in the span of the vectors 4, and -3 -0-

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Q: Given vector v = (-6, 4), find -0.5v graphically by stretching the vector by its tip and then…

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Q: 4. Given 3 points: A(2, 1, 1), B(2, 2, 2), and C(4, 2, 2), compute the normal vector for the…

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Q: Mark only correct statements. □ a. If P and Q are orthogonal projections such that PQ- QP, then PQ…

A: Answer  A) True. If P and Q are orthogonal projections such that PQ = QP, then PQ is an orthogonal…

Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

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Q: The three-dimensional counterpart of a triangle is a tetrahedron, which is a pyramid with four…

A: Given: (i). The three-dimensional counterpart of a triangle is Tetrahedron, which is a pyramid with…

Q: Each week a builder makes an order of doors from a supplier. The doors normally cost $60 each, but…

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Q: -8. -[-2]. (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem…

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Q: Sketch a directed line segment in R², representing each of the following vectors: -2 (a) u = 3 (b) v…

A: a. u=-23 tan θ=3-2=32

Q: 1.6 Find the vector projection, ProjgA and ProjĄB When A = i+ 2j + k and B = k.

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Q: Determine whether the software you use supports three- dimensional graphics, that is, plots points…

A: The software which is used is MATLAB Command >> vectarraw (P0,P1 ) Plots the vector from P0 to…

Q: Given vector v = (–6, 4), find −0.5v graphically by stretching the vector by its tip and then…

A: -0.5v NOTE: Refresh your page if you can't see any equations. . the given vector is  and we need to…

Q: 1. Find the area of the parallelogram spanned by the vectors a = (1,0,1), b=(-2,1,2) A. √5 B. 3 C.…

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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