Let x, y, z be (non-zero) vectors and suppose w = 2z. If z = 3y – 2x, then w = -4 x+ 6 Using the calculation above, mark the statements below that must be true. A. Span(x, y, z) = Span(w, z) B. Span(x, y, z) = Span(w, y) C. Span(w, y, z) = Span(x, y) D. Span(w, z) = Span(w, y, z) E. Span(x, z) = Span(w, x) %3D

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: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: please answer all i really need it and make sure it’s correct

A: Step 1: Step 2: Step 3: Step 4:

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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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: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: Suppose a, b, c are vectors in R³ for which Then (22a) ((14b) x (10c)) = Check det[a b c] = 2 Which…

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Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: M3. Which of the following expresses the fact that the vectors u and v have the same length? (a) ū -…

A: M3. The two vectors u and v have the same length if: (a)u→·v→=v→·u→

Q: 16. For any vectors a, b and c, show that a. (axb) xc lies in the plane of a and b b. (a x b) X c =…

A: Step 1: Reference: Vector Calculus, Vector triple product