Calculate the magnitude of the vector f =(2_2)

Answer 1

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.