As U = (2, -2, 3) And V = (1, -3, 4), Then ||-2u + 2v|| Is ______? - Testpoint

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As u = (2, -2, 3) and v = (1, -3, 4), then ||-2u + 2v|| is ______?

2√3
√2
√3
None of these

Explanation

Calculation: First, compute -2u + 2v:
- $- 2 u = (- 4, 4, - 6)$
- $2 v = (2, - 6, 8)$
- $- 2 u + 2 v = (- 4 + 2, 4 - 6, - 6 + 8) = (- 2, - 2, 2)$
Norm Calculation: The norm (magnitude) of $- 2 u + 2 v$ is:
$∣ ∣ - 2 u + 2 v ∣ ∣ = \sqrt{(- 2)^{2} + (- 2)^{2} + 2^{2}} = \sqrt{4 + 4 + 4} = \sqrt{12} = 2 \sqrt{3}$

Answer:

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