What is the size of the space stretched by the vectors {(1,0,2,0,1),(2,1,4,1,2),(1,1,2,1,1)}?    a) 4  B) one  NS) 2nd  D) 3  TO) 0

Q: {C}.F]E])} 0 3 5 8 Let S = Span 2 a) List at least five vectors which are in S. 3 b) Is v= -7 in S?…

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Q: From the set of vectors A = {(2,0,0), (3, 3,0), (4, 4, 4)} C R B = {(1,0,1), (–1, 2, 0), (0, 2, 1)}…

A: Given vectors are A=(2,0,0),(3,3,0),(4,4,4)⊂R3 and B=(1,0,1),(-1,2,0),(0,2,1)⊂R3 Now we check…

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Q: Fill in the blanks. The missing word i:

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Q: Given the vectors in 3-dimensional space is a= (a,az.az) and b= (b,b,.b,). The cross product of a…

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Q: This question relates to three vectors defined as p j-3k, q =-2i -j- 3k and r= 4i + j+ 3k, where i,…

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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: Show that if u, v, w, and r are any vectors, then a) u x (v x w) + v × (w × u) + w × (u x v) = 0 b)…

A: Given a u×v×w+v×w×u+w×u×v=0b u×v=u.v×ii+u.v×jj+u.v×kkc u×v.w×r=u.wv.wu.rv.r

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: It is required to find all the vectors v→ such that 1,2,1×v→=3,1,-5. It is required to explain why…

Q: This question relates to three vectors defined as p = j- 3k, q = -2i -j- 3k and r = 4i + j+ 3k,…

A: To find  The vector product of the given vectors.

Q: as the sum of two orthogonal orthogonal to ư

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Q: 27-j+4k sī +2j-2k.

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Q: a) Let S = Claa 1-21 be a set of vectors in R³ and X = 4 be a vector in R³. 13 If possible, write X…

A: See this solution in below.

Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

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Q: Determine which of the vectors is parallel to z and which is orthogonal to z if z = (3, 2) Show work…

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Q: 4. a) Givenā = [-5, 2, -3],6 = [7,-4, 1], c = [x, -2, z], and a × c =b, find x and z. b) Find a…

A: Given,  a→=-5,2,-3,  b→=7,-4,1 , c→=x,-2,z

Q: Which of the following sets of vectors are bases for R3? a) (2, 0, 0), (4, 4, 0), (6, 6, 6) b) (4,…

A: A set of three verctors in R3 is basis if the determinant of these vectors is nonzero.

Q: 3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p-2q b) p q c) px q d)…

A: Given :p⇀=2, 3, -6q⇀=1, 5, -4

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: A vector orthogonal to the plane through the poii (-1,0,0), (0, –2, –2), (2, 3, 4) is < -2, – 10, 9…

A: The given 3 points are A (-1,0,0) , B (0,-2,-2) &amp; C (2,3,4) Let, x1=-1, y1=0, z1=0 x2=0, y2=-2 ,…

Q: , If P(2,-2,1) , Q(3, -1,2) and R( 3,-1,1) ノ a) find the area of the triangle determined by the…

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Q: R = (-1,5,4,6,0); K(2,-2,1,0,8) 1) d(R, K ) ; 2) ||R|| ; 3) ||K||

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Q: 3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your…

A: (a). Given ,  u = 2,3,-1 and v = -1,-1,-1 (b). Given , u = j + 6k and v = i - 2j -k

Q: 12 3 e column space of A= 2 35 is all vectors 246 bi ER such that by by O a. by by Ob. 2by b and…

A: Column space

Q: Describe the span ot the two vectors (1,0,9) and co. 1,15 geometricellyy in

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Q: This question relates to three vectors defined as p = j- 3k, q = -2i -j- 3k and r= 4i + j+ 3k, where…

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Q: How many elements will the vector generated by the command below have? a:(b-a):k*(b-a) 1) 3 2) k…

A: Okk,  In given command,  a - the first element of vector  (b-a) - fixed difference between two…

Q: 4) Find all vectors vE C? such that (1 + i)v + () = () 3+ 6i

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Q: Pls help ASAP

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