I have no idea how to solve the following problem because there does not seem to be enough information.

Could anyone point me in the right direction?

Here is the problem.

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Suppose vector b has magnitude 8 m/s and direction S24degreesW, the direction of vector b - vector c is east and vector |c| is a minimum. Determine the magnitude and direction of vector c, to one decimal place.

The answer given to this is 7.4 m/s on a bearing of S9degreesE.

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See the diagram below for my understanding of the problem:

Any help would be much appreciated.

Thanks.

bdika