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NDA Math Vector Algebra
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© examsnet.com
Question : 49
Total: 101
If
→
a
+
2
→
b
+
3
→
c
=
0
and
→
a
×
→
b
×
→
c
+
→
c
×
→
a
=
λ
(
→
b
×
→
c
)
then what is the value of
λ
[NDA I 2018]
2
3
4
6
Validate
Solution:
(
→
a
+
2
→
b
)
=
−
3
→
c
⇒
→
a
×
→
b
+
2
→
b
×
→
b
=
−
3
→
c
×
→
b
⇒
→
a
×
→
b
=
3
(
→
b
×
→
c
)
3
→
c
+
→
a
=
−
2
→
b
⇒
3
(
→
c
×
→
a
)
+
(
→
a
×
→
a
)
=
−
2
→
b
×
→
a
⇒
3
(
→
c
×
→
a
)
=
2
(
→
a
×
→
b
)
=
6
(
→
b
×
→
c
)
⇒
→
c
×
→
a
=
2
(
→
b
×
→
c
)
Now,
→
a
×
→
b
+
→
b
×
→
c
+
→
c
×
→
a
=
6
(
→
b
×
→
c
)
⇒
λ
=
6
© examsnet.com
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