# What is || <-3, 6 , 8 > - <5, -2 , 7 > ||?

Jun 3, 2017

When subtracting two vectors you subtract the respective components.

Hence, $\left(- 3 , 6 , 8\right) - \left(5 , - 2 , 7\right) = \left(- 3 - 5 , 6 + 2 , 8 - 7\right)$

This gives $\left(- 3 , 6 , 8\right) - \left(5 , - 2 , 7\right) = \left(- 8 , 8 , 1\right)$

Then taking the modulus,

$| \left(- 8 , 8 , 1\right) | = {\left({8}^{2} + {8}^{2} + {1}^{2}\right)}^{\frac{1}{2}}$

Which is, ${\left(64 + 64 + 1\right)}^{\frac{1}{2}} = 11.35$