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NDA Math Vector Algebra
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© examsnet.com
Question : 27
Total: 101
If the vectors
→
a
=
2
^
i
−
3
^
j
+
^
k
,
→
b
=
^
i
+
2
^
j
−
3
^
k
and
→
c
=
^
j
+
p
^
k
are coplanar, then what is the value of
p
?
[NDA-I 2020]
1
-1
5
-5
Validate
Solution:
👈: Video Solution
As the given vectors are coplanar, then
→
c
×
→
a
×
→
b
=
0
|
0
1
p
2
−
3
1
1
2
−
3
|
=
0
⇒
0
+
1
(
1
+
6
)
+
p
(
4
+
3
)
=
0
⇒
7
+
7
p
=
0
⇒
p
=
−
1
© examsnet.com
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