if abc are non zero vectors
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Answer:
a.b=b.c=c.a=0
=a⊥
r
b
=b⊥
r
c
c⊥
r
a
∣(a×b).c∣=∣a×b∣∣c∣cos(a×b
n
c)
a×b is⊥
r
to a and b
but C is also ⊥
r
to a and b
∴ c is parallel to
a
ˉ
×
b
ˉ
cos(a×b
n
c)=1
=∣a×b∣∣c∣
∣a∣∣b∣∣c∣sin90
o
∣a∣∣b∣∣c∣
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