O Let u= 2₁ -5 j ; v= -31 + 7j; W = Find each specified vector 3W + 2 v ® ||2u|| २ © ||u+vl|l² - || u-vll ² @ 4w -5u or زما - أ - . scalar

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Q: How are a vector and a scalar different?

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Q: Let v1, v2, v3 be the vectors in R^3 defined by: v1=[0 5 8], v2=[12,-20,5], v3=[-12,15,-13] a). Is…

A: Solution: (a) We see,            v1 + v2 = [0 5 8] + [12 -20 5]                          = [0+12…

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Q: A = [-2,4,-2,-4,        2,-6,-3,1,        -3,8,2,-3,        0,2,5,3]  Find a non-zero vector R^4…

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Q: O a. X=4+ 7^, Y= 7+ 1\, Z= 10+6A

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Q: Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and…

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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…

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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>

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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…