therefore given the vectors u 1 2 and v 3 3 as for the option that presents the vector resulting from the operation w u 2v
Question
Therefore, given the vectors u=(1,-2) and v =(3,-3), as for the option that presents the vector resulting from the operation w=u-2v
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Answer to a math question Therefore, given the vectors u=(1,-2) and v =(3,-3), as for the option that presents the vector resulting from the operation w=u-2v
1. Multiply vector \mathbf{v} by 2: 2\mathbf{v} = (6, -6).
2. Subtract 2\mathbf{v} from \mathbf{u}:
\mathbf{w} = (1, -2) - (6, -6)
= (1 - 6, -2 + 6)
3. Calculate the components:
1 - 6 = -5 and -2 + 6 = 4
Answer: \mathbf{w} = (-5, 4).
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