if A vector × B vector = B vector × C vector, show A vector + B vector + C vector = 0
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Answer:
Given :
a
+
b
=
c
and a+b=c
So, c
2
=(
a
+
b
).(
a
+
b
)
Or (a+b)
2
=a
2
+b
2
+2
a
.
b
Or a
2
+b
2
+2ab=a
2
+b
2
+2abcosθ
So, cosθ=1
⟹ θ=0
o
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