Vector B~ has x, y, and z components of 9.6, 6,
and 8.5 units, respectively.
Calculate the magnitude of B~ .
8.5
To calculate the magnitude of a vector, you can use the formula:
|B~| = sqrt(Bx^2 + By^2 + Bz^2)
where Bx, By, and Bz are the components of the vector in the x, y, and z directions, respectively.
In this case, the x, y, and z components of vector B~ are 9.6, 6, and 8.5 units.
So, the magnitude of B~ can be calculated as follows:
|B~| = sqrt((9.6)^2 + (6)^2 + (8.5)^2)
= sqrt(92.16 + 36 + 72.25)
= sqrt(200.41)
≈ 14.14 units
Therefore, the magnitude of vector B~ is approximately 14.14 units.