Vector B has x, y, and z components of 2.2, 6.6, and 5.5 units, respectively.
Calculate the magnitude of B.​

Respuesta :

Answer:

8.9 units

Explanation:

The magnitude of a 3-D vector B can be calculated by using the formula:

[tex]|B| = \sqrt{B_x^2+B_y^2+B_z^2}[/tex]

where [tex]B_x, B_y, B_z[/tex] are the x, y and z components of the vector, respectively.

For the vector in the problem:

[tex]B_x = 2.2\\B_y = 6.6\\B_z = 5.5[/tex]

Substituting into the equation, we find the magnitude of B:

[tex]B=\sqrt{2.2^2+6.6^2+5.5^2}=8.9[/tex]

So, the magnitude of B is 8.9 units.