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Question

Write formula for a×(b×c), b×(c×a) and c×(a×b)

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Solution

Fromvectortripleproductproperty,weknow:
¯¯¯a×(¯¯bׯ¯c)=(¯¯¯a.¯¯c)¯¯b(¯¯¯a.¯¯b)¯¯c
Similarly,¯¯b×(¯¯cׯ¯¯a)=(¯¯b.¯¯¯a)¯¯c(¯¯b.¯¯c)¯¯¯a
and¯¯c×(¯¯¯aׯ¯b)=(¯¯c.¯¯b)¯¯¯a(¯¯c.¯¯¯a)¯¯b

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