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Byju's Answer
Standard XII
Mathematics
Vector Equation for Straight Line
The value of ...
Question
The value of p so that the vectors (2i-j+k),(i+2j-3k),(3i+pj+5k) are coplanar should be
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Similar questions
Q.
Find the value of λ so that the following vectors are coplanar:
(i)
a
→
=
i
^
-
j
^
+
k
^
,
b
→
=
2
i
^
+
j
^
-
k
^
,
c
→
=
λ
i
^
-
j
^
+
λ
k
^
(ii)
a
→
=
2
i
^
-
j
^
+
k
^
,
b
→
=
i
^
+
2
j
^
-
3
k
^
,
c
→
=
λ
i
^
+
λ
j
^
+
5
k
^
(iii)
a
→
=
i
^
+
2
j
^
-
3
k
^
,
b
→
=
3
i
^
+
λ
j
^
+
k
^
,
c
→
=
i
^
+
2
j
^
+
2
k
^
(iv)
a
→
=
i
^
+
3
j
^
,
b
→
=
5
k
^
,
c
→
=
λ
i
^
-
j
^
Q.
a
=
2
i
−
j
+
k
,
b
=
i
+
2
j
−
3
k
,
c
=
3
i
+
λ
j
+
5
k
are coplanar. Then find the value of
λ
Q.
The value of p such that the vectors
i
+
3
j
−
2
k
,
2
i
−
j
+
4
k
and
3
i
+
2
j
+
p
k
are coplanar is
Q.
Prove that the following vectors are non-coplanar:
(i)
3
i
^
+
j
^
-
k
^
,
2
i
^
-
j
^
+
7
k
^
and
7
i
^
-
j
^
+
23
k
^
(ii)
i
^
+
2
j
^
+
3
k
^
,
2
i
^
+
j
^
+
3
k
^
and
i
^
+
j
^
+
k
^
Q.
The value of n so that vectors
2
ˆ
i
+
3
ˆ
j
−
2
ˆ
k
,
5
ˆ
i
+
n
ˆ
j
+
ˆ
k
and
−
ˆ
i
+
2
ˆ
j
+
3
ˆ
k
may be coplanar find the value ?
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