If AxB = CxB , show that C need not be equal to A , where A, B , C are vectors . ??

Asked by shuchi.saumya | 12th Sep, 2010, 12:00: AM

Expert Answer:

                AxB = CxB
Implies     |A| |B| sin Θ = |C| |B| sin Φ  
(where Θ: angle between vector A and B; Φ: angle between C and B)
 
|A|  sin Θ = |C| sin Φ
If   Θ = Φ, then A = C, else not.
 
Hence proved that C need not be equal to A.

        

Answered by  | 12th Sep, 2010, 08:55: PM

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