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AIEEE 2002 Math Solved Paper
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© examsnet.com
Question : 59
Total: 74
If
→
a
×
→
b
=
→
b
×
→
c
=
→
c
×
→
a
then
→
a
+
→
b
+
→
c
=
abc
−
1
0
2
Validate
Solution:
Let
→
a
+
→
b
+
→
c
=
→
r
. Then
→
a
×
(
→
a
+
→
b
+
→
c
)
=
→
a
×
→
r
⇒
0
+
→
a
×
→
b
+
→
a
×
→
c
=
→
a
×
→
r
⇒
→
a
×
→
b
−
→
c
×
→
a
=
→
a
×
→
r
⇒
→
a
×
→
r
=
→
0
Similarly
→
b
×
→
r
=
→
0
&
→
c
×
→
r
=
→
0
Above three conditions will be satisfied for non-zero vectors if and only if
→
r
=
→
0
© examsnet.com
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