- #1
thenewbosco
- 185
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Hello, my problem is as follows:
Given that A and B are known vectors, and
A \cdot C=u is a known quantity, and A \times C=B
Express C in terms of A,B, u, and the magnitude of A
So far what i have done was use the definition of the dot product as AC cos \theta=u, and cross product as AC sin \theta=|B|, squared both and added them to get an expression for the magnitude of C squared, however i do not know how to get the vector C by itself in terms of the quantities in the question, can anyone explain how i should go about this? thanks
Given that A and B are known vectors, and
A \cdot C=u is a known quantity, and A \times C=B
Express C in terms of A,B, u, and the magnitude of A
So far what i have done was use the definition of the dot product as AC cos \theta=u, and cross product as AC sin \theta=|B|, squared both and added them to get an expression for the magnitude of C squared, however i do not know how to get the vector C by itself in terms of the quantities in the question, can anyone explain how i should go about this? thanks
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