Question
Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~3\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 = 5 $ and $ b = 3 $, so:
$$ ||v|| = \sqrt{ 5^2 + 3^2 } = \sqrt{ 25 + 9 } = \sqrt{ 34 } = \sqrt{ 34 }$$This page was created using
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