Calculate the magnitude of the vector f =(2_2)
To calculate the magnitude of a vector, we use the formula:
|f| = √(a^2 + b^2)
where a and b are the x- and y-components of the vector, respectively.
For the vector f = (2, 2), we have:
|f| = √(2^2 + 2^2)
= √(4 + 4)
= √8
≈ 2.828
Therefore, the magnitude of the vector f is approximately 2.828.
To calculate the magnitude of a vector, you can use the formula:
|f| = sqrt(f₁² + f₂²),
where f₁ and f₂ represent the components of the vector. In this case, f has components of 2 and 2.
Substituting these values into the formula:
|f| = sqrt(2² + 2²) = sqrt(4 + 4) = sqrt(8).
Thus, the magnitude of the vector f is sqrt(8).