Question

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

Calculate the magnitude of B.​

Answer 1

8.9 units

Step-by-step explanation:

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

`|B| = √(B_x^2+B_y^2+B_z^2)`

where
`B_x, B_y, B_z` are the x, y and z components of the vector, respectively.

For the vector in the problem:

`B_x = 2.2\\B_y = 6.6\\B_z = 5.5`

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

`B=√(2.2^2+6.6^2+5.5^2)=8.9`

So, the magnitude of B is 8.9 units.