Question

a(bxc)+bx(cxa)+cx(axb)= 0

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Solution:

L.H.S.= a\times (b\times c)+b\times(c\times a)+c\times(a\times b)a×(b×c)+b×(c×a)+c×(a×b)

=a\times (a)+b\times(b)+c\times(c)=a×(a)+b×(b)+c×(c)

Using the vector identity:

b\times c=a,c\times a=bb×c=a,c×a=b and a\times b=ca×b=c

= a\times aa×a + b\times bb×b + c\times cc×c

= 0 + 0 + 0

Using the vector identity:

a\times aa×a = 0, b\times bb×b = 0 and c\times cc×c = 0

= 0

= R.H.S., proved.

Thus, a\times (b\times c)+b\times(c\times a)+c\times(a\times b)=0a×(b×c)+b×(c×a)+c×(a×b)=0 , proved.

Step-by-step explanation:

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