Step by step method to solve the  following problem: find coordinates of B.

We have two vectors AC and BD, coordinates for A are 1.5,4 and for C are 4,7.5, the only 4 known facts of BD are:

B lies at a unknown location on vector AC
X coordinate for D is 0
BD magnitude is 2.5
BD is perpendicular to AC.

What are the coordinates of B.

The attached image shows the situation. I need to put this on an excel sheet so hence the step by step solution.
See attached image.


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Mathe Mathe
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