Vector B~ has x, y, and z components of 8.2,
1.8, and 9.6 units, respectively.
Calculate the magnitude of B~ .
what is sqrt(8.2^2+1.8^2+9.6^2)=
To calculate the magnitude of a vector, you can use the formula:
Magnitude of B~ = √(x^2 + y^2 + z^2)
In this case, the x-component of vector B~ is 8.2 units, the y-component is 1.8 units, and the z-component is 9.6 units.
Plugging these values into the formula, we get:
Magnitude of B~ = √(8.2^2 + 1.8^2 + 9.6^2)
Calculating the squares and adding them:
Magnitude of B~ = √(67.24 + 3.24 + 92.16)
Combining the terms:
Magnitude of B~ = √(162.64)
Finally, taking the square root, we find:
Magnitude of B~ ≈ 12.762 units
Therefore, the magnitude of vector B~ is approximately 12.762 units.