iii) The area of the parallelogram spanned by the three-dimensional vectors 3 -4 and 2 -5 is Number

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

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Q: show two nonzero vectors a and b in the 5th dimensions. put them in vector form and in basis form.…

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Q: How many vectors have length 1 and dot product with (-1,7,2)=0?

A: We have to find number of vectors have length 1 and dot product with (-1,7,2)=0.

Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

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: Are the vectors (1, 2, 3, 4), (2, 3, 4, 5) and (3, 4, 5, 6) lin indep?

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Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

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Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: Find 3 different homogeneous coordinate representations for the Cartesian point (1,-2)

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Q: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: If the cross product of two nonzero vectors is the zero vector, then each of the two vectors is a…

A: Explanation of the answer is as follows

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

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Q: Vector A is 6 inches long and is 60° above the +x-axis in the first quadrant. While vector B is 6…

A: Shown here are two vectors as given in the question. Resolve the first and second vector on the x…

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: 4 16 -- 12 -21 4. Is the vector in the span of the vectors 10 12 -8 and 8 ? Explain!

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Q: O Find a vector perpendicular to both i- 3j+2k and 5i-j-4k

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