Let x,y,z be (non-zero) vectors and suppose that z=4x−4y and w=12x−12y−4z. Are the following statements true or false?

Q: and ā is a cC 7) will be

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Q: If x is an n-vector, show that x + 0 = x.

A: Given, If x is an n-vector.

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: Suppose A and B are non-zero vectors. Then AxB is perpendicular to A+B. True O False

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Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

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Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: Let W= W= , V1 = , V2 = V3 = If possible, express w as a linear combination of the vectors v₁1, V2…

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Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Let x, y, z be (non-zero) vectors and suppose that z = -1x + 1y and w = -1x + 1y - 3z. Are the…

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Q: For which a are the vectors ⟨2,a,1⟩ and ⟨1,−2,4⟩ perpendicular?

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Q: 1. Span(w, z) = Span(w, y, z) 2. Span(w, x) = Span(x, y) 3. Span(w, y, z) = Span(y, z)

A: As per our guidelines we are supposed to answer only3 sub- parts. So, I am answering the first three…

Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

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