R! Consider Hhe veetors and () How many vectors are in span {v, v } ? (6) Is the Hectay w in Hhe Subspace spanned %3D 48 42 by Hhe uectos ū, and =3 why why nor

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: Find the normal vector to the plane that contains the point (1, 1, 3) and the line r(t)=(0,1,…

A: Let P be the point 1,1,3.Q be the point 0,1,2 on the line.Then, PQ→ = 0-1,1-1,2-3=-1,0,-1And the…

Q: 3 Among all unit vectors u = y in R', find the one for which the sum x + 8y+ 4z is minimal.

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Q: Find terminal point Q of vector PQ =    <9, −2, 1>   with the initial point at…

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Q: Eind vnit Vector that is ortogone a O u=(!,-!,2) and V=CO,3,1)

A: Here we have to find the unit vector orthogonal to u=1,-1,2 and v=0, 3,1

Q: For a pair of vectors u and v in R^2 are shown below, shade in the region containing all linear…

A: We are given the pair of vectors u→ and v→ as shown in the figure. Now, we need to shade the region…

Q: 6. List 3 non-zero vectors in R° that are orthogonal. (You must verify that they are orthogonal.)

A: See the detailed solution below.

Q: n+5 c) Let y= and u= Write y as sum of two orth ogon al vector s, one n+4 n-1 is Span (u) and one…

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Q: (88) Write a nonzero vector in span (S) that is not equal to any of the vectors in S.

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Q: the cylielied 1.15) EXPRESS THE VECTOR K = (x^²√²³y + xy²5₂ coorddicta syster & eveluet it at the…

A: x=ρcos⁡ϕ  ,  y=ρsin⁡ϕ  ,  z=zThe position vector, r→=x ax→+y ay→+z…

Q: Find a unit vector orthogonal to both u and v. u = 2i5j + 3k 2-3 V = + -k 10

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Q: • v, = X,- Lie = 5,-E k V, for 2<psi. k 9 k=1 k Show that vov,=0_for any 1<Q,T<i & Q±T.

A: (Note: There is typo error in question while defining v_{p}. The summation should run k=1 to  p-1,…

Q: The normal line to the surface x² + 2y² + ² = 25 at the point (1, -2, 4) is parallel to the vector O…

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Q: Find the volume of the parallelepiped defined by the vectors u=(1,-8,2), v=(5,0,-3), w = (1,5,-3)

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Q: ) Determine whether vectors v,(1,2,1), v2 = (1,0,2) and V3 = (1,1,0) spans the vector space (R³, R ,…

A: Given vectors v1=121, v2=102 and v3=110 We have to determine whether the vectors v1, v2, v3 spans…

Q: Let L be the line in R3 that consists of all scalar multiples of the vector proj, ž== -0 100 . Find…

A: Given 'L'be the line in ℝ3 that consists of all scalar multiples of the vector -221. To find the…

Q: A line l passes through the point P(2,4, 3) and is parallel to the vector (3, 2, –3). | At what…

A: Proceed as shown below

Q: Find the volume of the parallelepiped defined by the vectors 2 -4 2 -5 -3 Volume =

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: what is the distance between the vectors  u = (0,1,2,3) and  v = (1,0,4-1)

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Q: Let y = 18 || = and u = 6 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

A: Given that                   y→=-4-3 and u→=66.

Q: e vector x²y?

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Q: Find the volume of the parallelepiped defined by the vectors u=(1,-8,2), v=(5,0,-3), w = (1,5,-3)

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