Question
Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 83 }{ 10 },~0,~0\right) $ .
Answer
The magnitude of vector $ \vec{v} $ is $ \| \vec{v} \| = \dfrac{ 83 }{ 10 } $ .
Explanation
To find magnitude of a vector $ v=(a,b,c) $ we use formula $ ||v|| = \sqrt{a^2+b^2+c^2} $
In this example $ a = \frac{ 83 }{ 10 } $ , $ b = 0 $ and $ c = 0 $ so:
$$ ||v|| = \sqrt{ \left(\frac{ 83 }{ 10 }\right)^2 + 0^2 + 0^2} = \sqrt{ \frac{ 6889 }{ 100 } + 0 + 0} = \sqrt{ \frac{ 6889 }{ 100 } } = \frac{ 83 }{ 10 }$$This page was created using
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