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## Homework Statement

This is a problem from a textbook, Riley Hobson and Bence 'Mathematical Methods for Physics and Engineering'. It asks to check the validity of a vector identity. If

**a**,

**b**and

**c**are general vectors satisfying

**a**x

**c**=

**b**x

**c**, does this imply

**c**.

**a**-

**c**.

**b**= c|

**a**-

**b**|

**2. The attempt at a solution**

According to the book the identity is satisfied, but I think that there should be a plus/minus sign before the RHS, since we don't know whether the vectors

**a**-

**b**and

**c**are in the same or opposite directions.

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