Question

If a b c are three vectors such that a+b+c=0 then prove that a×b=b×c=c×a

Answer 1

Answer:

Step-by-step explanation:

a+b+c = 0

a+b = -c

cross product by a on both sides

a×a+b×a=-c×a

b×a = a×c         by vector property

now

a+c = -b  ........(b)

cross product by a on both sides

a×b+b×b=-c×b

a×b=b×c .........(a)         by vector property

henceby comparing equations (a) and (b)

a×b=b×c=c×a

Answer 2

Answer:

hope the attachment helps you to understand the method....

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