10t TOTALLIER Let B = [u, v] be a base for VR², where u = (1, 2) and v = (−1, 1). We know that every vector w in V is a linear combination of and . That is, 116=2 w=au + Bu where a and 8 are scalars. If w = (6,0), what are the values of a and 8? B a=2 a=2 a = 4 116=2 B=4 B=-4

Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: To express the vector =(1.2 -6) as a linear combination of three vectors ,- (0.1. 2), v= (1,0.2) and…

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Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

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Q: 3.2.1 Vector Cross Product Let vectors: A = (1, 0, −3), B = (–2, 5, 1), and C = (3, 1, 1). Part…

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Q: Example 1.32 Find the general solution of the following higher order differential equation by…

A: To determine the general solution of the below differential equation. y'''−4y''+4y'=x2+xex

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Q: Express the vector x as a linear combination of the u's. --0-0-0- 0, U₂5, U3 = -50 Select one: O A.…

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Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

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Q: If possible express the vector v as a linear combination of V1, V2, and V3.

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Q: Which of the following represents vector u = −7i + 4j in component form?

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