Question

Find the magnitude of −A+B, where A=(28.3,57.7),B=(90.7,−146.0).

Answer 1

To find the magnitude of −A+B with given vectors A and B, we first calculate −A+B which is B minus A, then we use the Pythagoras theorem to find the magnitude of the resulting vector. The computed magnitude is approximately 213.07

Step-by-step explanation:

To find the magnitude of −A+B when A=(28.3,57.7) and B=(90.7,−146.0), we start by defining the operation −A+B. This operation vectorially is equivalent to B-A. Hence, compute as follows:

• B-A = (90.7-28.3, −146.0-57.7) = (62.4, -203.7).

Then we calculate the magnitude of the resulting vector(-A+B) which is calculated using the Pythagoras theorem defined as √((62.4)^2 + (-203.7)^2 ).

The computed magnitude of −A+B will then be approximately 213.07.

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