5. Please compute the mean shift vector of the figure below. The circle center is at the origin (0, 0). --------- Vector O (1,2) O (1,1) (2/2) o(2,1) O (2,0)

Q: ✓3.10 Project the vectors into M along N. {(*) Ix+y=0}, (b) (¹). (c) M={ M={ '(^).. () () N = {…

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Q: The curl of- yi+z+xR"

A: In this question, we find the curl of the vector function by using the determinant method.

Q: Consider the data: (zo, f(xo)), (₁, f(x1)), (2, f(x₂)), (#3, f(#3))).\\ The Lagrange basis…

A: Lix=x-x0x-x1·..x-xi-1x-xi+1·...x-xnxi-x0xi-x1·..xi-xi-1xi-xi+1·...xi-xn∴Lixj=0     for i≠j1     for…

Q: Find the limits of the following vector functions. 2t³-t² tan (2t)\ 21² (i) (ii) lim In 1-0 5t lim…

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Q: 4. Let V1 = (-3) - () -- () 5 = V2 10 V3 = " 12 a) For what values of h is v3 in Span {V₁, V₂} ? b)…

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Q: . (Section 14.4) Let curve C be described by vector function(t) = (cost-1, sint, 3/2) on 0 ≤ t ≤ b.…

A: The curve C is defined by the function,on the interval,The length of the curve on the given interval…

Q: Q2) Find T N „B of the vectors the curve r(t) = at the point (1, ,1)

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Q: Find a vector parametric equation F(t) for the line through the points P = (5,-5, -5) and Q = (10,…

A: The given points are P=5, -5, -5 and Q=10, -6, -9. (a) We have to find r→t when r→0=5, -5, -5 and…

Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

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Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

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Q: The vertices of AJKL are J(-3, 4), K(3, 0), and L(-5, -4). The equation of the median JLis y = 0.…

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Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these…

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC

Q: 4. Determine whether the given vectors form a fundamental set on the interval (-0, 00). -()-. X1 =…

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Q: Find the limits of the following vector functions. -2) 21³-t² tan (21) 21²" (i) (ii) lim In 1-0 5t…

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: Use the gradient to find a normal vector to the graph of the equation at the given point 7x²-y=5,…

A: In this question we have to find the Normal Vector using gradient.

Q: Compute the orthogonal projection of = 3 onto the line L through -2 and the origin 2 proj, (v) =

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Q: 2 - 1 Fit a cubic trend function to the data (- 2,11), (- 1,13), (0,13), (1,12), (2,11). Let po(t) =…

A: Given, The data                           -2, 11, -1, 13, 0, 13, 1, 12, 2, 11 and the t-coordinate…

Q: The principal unit normal vector 1 7 14 (11-8,9) 1 √√266 (-11,-8,9) 266 (11-8,9) 1 714 (-11,-8.9)…

A: First, we need to find the derivative of the curve R(t) = (t, t², t³). The derivative of a vector…

Q: dependent.

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Q: Find the orthogonal trajectory of the family of y=ax

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: Find the modulus = (ii) -1+3i 2-7 O Locate the numbers Z,+7 and Z,=Zz Vectorially when : + bi) ž,-…

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Q: X 7. Give a condition on the vector Y 2 such that it lies in Span {[1] 2

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Q: 2 Locate the numbers z₁+z₂ and z, - z₂ vectorially when z₁ = 2i, z₂ ==-i. 3

A: Use addition the evaluate these numbers then plot it

Q: Which of the following is a unit normal vector to the plane with Cartesian equation 2x-y+22-5 - 0?…

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Q: 5. Prove that for any vector x, we have (a) 1, <H<#H, (b)

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Q: [ -7 4 -4 4 -1 3 -7-4-1-6] A nonzero vector with integer entries in the null space of T'is Let T =…

A: Given: T=-74-4413-7-4-1-6 To Find: Non-zero vector of null space of T.

Q: - In(a°y*) + x2 Consider z as a function of the variables x, y which is denoted by z and let P(1,-1)…

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