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Byju's Answer
Standard XII
Mathematics
Condition for Coplanarity of Four Points
If the vector...
Question
If the vectors
−
3
^
ı
+
4
^
ȷ
−
2
^
k
,
^
ı
+
2
^
k
and
^
ı
−
p
^
ȷ
are coplanar, then find the value of
p
.
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Solution
We have,
−
3
^
i
+
4
^
j
−
2
^
k
,
^
i
+
2
^
k
,
^
i
−
9
^
j
∣
∣ ∣
∣
−
3
4
−
2
1
0
2
1
−
p
0
∣
∣ ∣
∣
=
0
−
3
(
2
p
)
−
4
(
0
−
2
)
−
2
(
−
p
)
=
0
−
4
p
+
8
=
0
∴
p
=
2
Hence, this is the answer.
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Condition for Coplanarity of Four Points
Standard XII Mathematics
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