The components of vector a are ax = +2.2 and ay = -6.9 , and the components of vector b are given are bx = -6.1 and by = -2.2. what is the magnitude of the vector b - a

For simplicity, let's call vector B-A  vector C  Then C is
Cx = (-6.1 - 2.2)  
Cy = (-2.2 - (-6.9))  Or,
Cx = -8.3  Cy = 4.7
The magnitude is found with the Pythagorean theorem
||C|| = √(-8.3² + 4.7²) = 9.538

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