[2/3 1/3 2/3 -2/3 2/3 1/3 4 Let y = uj u2 = and W = Span {u,, u2}. a. Let U = [u uz]. Compute UTU and UUT. b. Compute projw y and (UU")y. .

Q: 2. 1 show thet vectors cre linecrly dependent or lineerly in dependont

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Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: Find the projection of u = onto v = . projuv =

A: We can find the projection in two form one is in scalar form and other is vector form. here i give…

Q: Find any two non collinear vectors on the plane x-y-3z +6=0

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Q: 5. Let ū = (-1,3, 2) and i = (1, 1, -1). Find all vectors x' that satisfy u x i = v.

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Q: 6 2 Show that it is vectors are lineas dependent line or independent.

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Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

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Q: 7. Let u = (2,1, −1) and v = (√√2, 1, 1). Find the decomposition of u into vectors that are parallel…

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Q: 4. Write y as the sum of two orthogonal vectors, y, in L and y₁ in L Let y = YL = 1 and u = 2 7 Let…

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