Final answer:
To find the magnitude of the vector A - B, subtract the components of B from the components of A and calculate the magnitude of the resulting vector.
Step-by-step explanation:
To find the magnitude of the vector A - B, we need to subtract the components of B from the components of A and then calculate the magnitude of the resulting vector. In this case, vector A is given by A = 10.5x + 18y and vector B is given by B = 3.1x + 3.5y. Subtracting the components, we get (10.5 - 3.1)x + (18 - 3.5)y, which simplifies to 7.4x + 14.5y. The magnitude of this vector can be found using the Pythagorean theorem: √((7.4)^2 + (14.5)^2) = √(54.76 + 210.25) = √265.01 = 16.25 (rounded to two decimal places).
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