|3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that 3s + 2t W = u= span {u, v}. V =

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Let v = [2 10. (a) How many vectors does Span {v} contain? (b) List a few vectors in Span {v} and…

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Q: If u=(24,-32), then the set of all vectors orthogonal to u is O {(32k , 24K) | ke R} {(32, 24), (-32…

A: To find the set of all vectors orthogonal to u=<24,-32>.

Q: Suppose that u and v are vectors in 3-space such that u ||= 5 and u · v= 7. Find: (a) u · u = (b) v…

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Q: find the diJ tance betueen the vectors

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

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Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: Consider the vectors -0-0-0- 3 y = Write w as a inear combination of the first three vectors: V1 + 3…

A: Given vectors are  and .We need to write  as a linear combination of .

Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: H is the set of all vectors x = X2 in R³ with the property that X3 X1 + x2 = 0 and Xi – x2 + x3 = 0.…

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Q: The vector -3 (GIE) -1 -4 0 -7 vectors -3 2 belongs to the span of the 5 Select one: O True O False

A: Given: W=span-3-10, -1-4-7. To check v=-325∈W.

Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of…

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Q: - AB = Find the vector in R³ from point A = (5, 4, −6) to B = (–6, 1,9). help (vectors)

A: The given points are A=5,4,-6 and B=-6,1,9. We know that if A=a,b,c and B=x,y,z are two points in…

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Let W be the set of all vectors of the form 111 ū= -3s- 2t 2s+t -s-2t Find vectors u and 7 in R³…

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Q: Let V₁, V2, V3 be the vectors in R³ defined by 18 ---A V2 = -14 (a) Is (V1, V₂, V3} linearly…

A: We now solve this questions

Q: 17. Find the unit vector ofd = [–3, -7, 4]. a) [-3,-7,4] b)=[-3,7,4] 7 4 示

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…