For each of the following sets of vectors in a 3- dimensional space, describe the span of the vectors. If applicable, write out an equation for the span. 1 A -1 √₁ = V2 = 1 2 -3 " and 3 = 1

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: et V₁ = (1, -2,-2), V₂ = (0, -1, -2), V3 = (2, -4,-5). re the vectors 1, 2 and 3 linearly…

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Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Let v vector=[−4 −6] and b vector =[8 1 2] (check the image for reference) Is b vector in the…

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Q: Determine which of the following vectors are orthogonal to each other: 12 2 X = 3 X2 1 X3 -3 -5 3

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Q: 47. ā -b = -8

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Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: Of the following expressions, select all that are defined. Assume all vectors have 3 components so…

A: Gvien two vectors a and b then

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: Consider the following vectors: 3 9. 1 a= 4 c'= 9. -10 –10 For each of the following vectors,…

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Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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