Question

Vector B has x, y, and z components of 3, 7.2,

and 4.5 units, respectively.
Calculate the magnitude of B

Answer 1

`\approx 9.0\:\mathrm{units}`

Explanation:

The magnitude of 3D vector
`\vec{v}` can be given by the following:

`| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}`

Plugging in given values, we have:

`| \overline{v}|=√(3^2+7.2^2+4.5^2),\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}`.