Let x, y, z be (non-zero) vectors and suppose w = -12x - 6y + 2z. If z = 4x + 2y, then w = x+ A. Span(y, z)= Span(w, x, z) B. Span(x, z) = Span(w, x, y) C. Span(w, z) = Span(w, y, z) D. Span(w, x, y) = Span(w, z) E. Span(w, y) = Span(w, x) y. Using the calculation above, mark the statements below that must be true.

Q: Can the vector (3, −5, 2) ∈ R3 be written as a linear combination of the vectors v1 = (2, −3, 1) v2…

A: Linear Combination:Let V be a vector space and S = {v1, v2, · · · vn} ⊆ V . Then for α1, α2, · · ·…

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: Let x, y, z be (non-zero) vectors and suppose w= 24x + 18y-4z. If z = 4x + 3y, then w = x+ A.…

A: Given that x,y,z be (non-zero) vectors and suppose   and…

Q: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: Let x, y, z be (non-zero) vectors and suppose w = - -4x - 16y + 3z. If z = x+4y, then w = x+ A.…

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Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Let w, x, y, z be vectors and suppose z = -3x - 2y and w = 6x + 2y + 2z Mark the statements below…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

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Q: Let w, a,y, z be vectors and suppose z = -2x - 2y and w=2x+4y+ z. Mark the statements below that…

A: Given  are vectors and  and  .To choose which of the statements are true.A. B. C. D. The span of…

Q: Let w, z, y, z be vectors and suppose z = 4x+y and w=12x+2y-3z. Mark the statements below that must…

A: The given equations are z=4x+y, w=12x+2y-3z where x,y,z,w are vectors. We have to Select the correct…

Q: Let w, x, y, z be vectors and suppose z = x - 4y and w = - -2x - 4y + 2z. Mark the statements below…

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Q: Let u = (3, 6, 2), v = - (6, 7, -2), w = (24, 33, h + 0). Determine the value for h so that w is in…

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Q: Suppose that v1 = (5, 2, 0, 3), v2 = (2, -2, 8, 2) and v3 = (-6, 0, 5, 4). Is the following vector…

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Q: Suppose that v1 = (5, 1, 0, 5), v2 = (5, -3, 6, 2) and v3 = (-5,0, 5, 2). %3! Is the following…

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Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: List five vectors in Span{V₁, V₂}. Do not make a sketch. 6 40-0 V₁ = 3. V₂ = 3 8 6 List five vectors…

A: The given vectors v1=63-8, v2=-630. We have to find five vectors in the Spanv1, v2.

Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :