Which of the following statements are true? I: If F, and F, are 5-dimensional flats in R', then the dimension of F, NF, could have a dimension of 6. 1 2 II: If F, and F2 are strictly separated, then F1NF2 = Ø. A. Neither I or II B. Both I and II C. I O D. I

Q: For what values of z and y is orthogonal to both (-1 and

A: Remark: We know that two vectors are orthogonal if they are perpendicular to each other. i.e., the…

Q: 6. Find UV (dot a) Ū · V = (2, 3, -

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Q: 25. Show that |v|u + Ju|v and |v|u – |u| v are orthogonal.

A: Two vectors are orthogonal if their dot product is zero. If the dot product of two vectors is zero,…

Q: The following notation describes ______  that passes through points P and Q. PQ A. Plane B. Ray…

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Q: 5) Let à = psin(4)ū, + p² Ug Evaluate f Ã. dl given that L is the contour of the following figure.

A: Let A→=ρsinϕu→ρ+ρ2u→ϕ we have to evaluate ∮A→.dl→

Q: What is the Jacobian of a and y with respect to u and v if = u? + 2v and y = u?v? %3D O 2u - 4u²v O…

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Q: Let u = 2i – 8j and v = 4i + j. Are u and v perpendicular? Why why not? %3D or

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Q: What is mJH J 7x +3 11x + 3 mJH = degrees

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Q: Indicate whether the following statement is true or false ? 1. If S = span{u1, U2, Uz}, then dim(S)…

A: If Span u1,u2,u3 then dim (S)=3 the  dim S=3 if S is spanned by u1,u2,u3 and  u1,u2,u3 are linearly…

Q: Prove that for A # B, AB S AB S AB.

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Q: If i = (-i) × (-j) and v = (j) × (k), find the length and direction of i x v and i x ū. Length of u…

A: In the question we have to find length and direction of the given vectors.

Q: LG, CF, and AU are concurrent.

A: According to the question, To show that LG, CF, and AU are concurrent, we will use the theorem…

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: H3. A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO.

A: ,  and  are points in space relative to  such that  and .To show:.

Q: d³v -, which of the following variables it the dependent variable? In the notation dis (A y Bt

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Q: _3. Let x be a convex combination of {y1, . . , yk }. Assume in turn that each y; is a convex…

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Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2).…

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

Q: Let u = (-1, 1, 0) and v = (-7, 6, -5).

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Q: 1: Let u = (-3,2, 4) and v = (2, -4,6). a) Find u o (v), b) Find u x v. c) Find Proj,u.

A: Here given that                        u=(-3, 2, 4)                and  v=(2, -4, 6)

Q: 1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v|…

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Q: pls help on all asked questions pls

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Q: How many planes in the diagram contain point W? O 3 O 4 O 2 O 1 o search

A: Given query is to find number of plane at point W.

Q: Suppose |||| = 5 and |||| = 6, and assume and y are orthogonal. Then ||-||²7

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Q: -1 Let v=-2 then the first norm of v equal 7 -3 Select one: O True False

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Q: 9. Quadrilateral ABCD with vertices A(-2,0), B(0,4), C(5,5), and D(8,2) will be graphed in the…

A: The graph is shown below:

Q: 2 For what value(s) of k (if any) is the vector 1 in the span of ----- k 3 (104) 3 For no values of…

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Q: 3. Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3,–6) are parallel.

A: Two vectors  are parallel  is their cross product  is zero. So calculate  cross product  in the…

Q: Task 6 (Sobolev spaces) Let pe (1, 00), f e W((a, b)). Show that af = 0 f= const a.e. in (a, b).

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