Write -2 | as a linear combination of the vectors 5 -5 -2 5 = 5+ 0 0 ୦-୦ + 4 --[3][[] 5 1 1

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: Find the unit vector in the direction of <4,2>

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Q: If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1]  Sketch the computation above and…

A: Given; vector A = [4,1] and vector B = [-3,2]

Q: Given'! I1xl1= 3 Ily 1 X.Y--2 (x-2y) (3x +5y) Sol: 3(4) + 2- 10 19

A: Given:       x=3, y=1, x·y=-2  To find:          x-2y·3x+5y       =x·3x+5y-2y·3x+5y…

Q: ctor is a quantity characterized by only a positive or negative number that represents its magnitude…

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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 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…

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: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

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Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: How do you know if 3 vectors span R^3? Is there any example?

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Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: 3. Write u= -=[3] as a sum of vectors, one in the direction of and another orthoganal to a. -1 a=

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Q: 123 Write the vector 2 as a linear combination of the vectors 3 4 (6676) 5 4 2

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

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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: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: V•U Compute u. u, v. u, and using the vectors u = u u u U= (Simplify your answer.) -5 ... and v= 6 3

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Q: Write the vectors (1, 0, 0) and (0, 0, 1) as linear combinations of vectors {(1, 0, -1), (0, 1, 0),…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: y²uxx - xyuxy - 2x² Uyy Find the canonical form of the equation. = 0, x > 0, y > 0

A: We have to find the canonical form of the equation.

Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: Why vector of algebra related in maritime industry

A: Vectors are mathematical objects that have both magnitude (size) and direction. In the maritime…