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Find the magnitude of the vector \( <3,6> \). 5.2 3 9 6.7

Ask by Todd Edwards. in the United States
Feb 26,2025

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The magnitude of the vector <3, 6> is approximately 6.7.

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To find the magnitude of the vector \( <3,6> \), you can use the formula for the magnitude of a vector, which is given by: \[ \sqrt{x^2 + y^2} \] In this case, \( x = 3 \) and \( y = 6 \). Plugging in the values: \[ \sqrt{3^2 + 6^2} = \sqrt{9 + 36} = \sqrt{45} = 3\sqrt{5} \approx 6.7 \] So the magnitude of the vector \( <3,6> \) is approximately 6.7. Make sure to double-check your calculations! It's easy to misplace a number or miss a step when working with square roots. Writing down each part of the calculation can help you keep track. If you're not comfortable with roots, consider using a calculator for precision!

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