# Vector B has x, y, and x components of 5.5, 7.1, and 1.4 units, respectively. How do you calculate the magnitude of vector B?

Jul 14, 2016

$\sqrt{82.62} \cong 9.09$

#### Explanation:

If vector B, denoted by $\vec{B} = \left({b}_{1} , {b}_{2} , {b}_{3}\right)$, then its manitude,

denoted by $| | \vec{B} | |$, is defined by,

$| | \vec{B} | | = \sqrt{{b}_{1}^{2} + {b}_{2}^{2} + {b}_{3}^{2}}$

In our case, $| | \vec{B} | | = \sqrt{{5.5}^{2} + {7.1}^{2} + {1.4}^{2}} = \sqrt{30.25 + 50.41 + 1.96} = \sqrt{82.62} \cong 9.09$