Question
Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~5\right) $ .
Answer
The magnitude of vector $ \vec{v} $ is $ \| \vec{v} \| = \sqrt{ 34 } $ .
Explanation
To find magnitude of a vector $ v=(a,b) $ we use formula $ ||v|| = \sqrt{a^2+b^2} $
In this example $ a = 3 $ and $ b = 5 $, so:
$$ ||v|| = \sqrt{ 3^2 + 5^2 } = \sqrt{ 9 + 25 } = \sqrt{ 34 } = \sqrt{ 34 }$$This page was created using
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