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Byju's Answer
Standard X
Mathematics
Collinearity Condition
a =3î +ĵ -2k̂...
Question
→
a
=
3
^
i
+
^
j
−
2
^
k
;
→
b
=
^
i
+
λ
^
j
−
3
^
k
→
a
⊥
→
b
, find value of
λ
.
Open in App
Solution
As
→
a
⊥
→
b
,
⇒
→
a
−
→
b
=
0
⇒
(
3
^
i
+
^
j
−
^
2
k
)
(
^
i
+
λ
^
j
−
3
^
k
)
=
0
⇒
3
+
λ
+
6
=
0
⇒
λ
=
−
9
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Similar questions
Q.
Find
λ
if the vectors
^
i
−
^
j
+
^
k
,
3
^
i
+
^
j
+
2
^
k
,
^
i
+
λ
^
j
−
3
^
k
are coplanar
Q.
Find
λ
if the vectors
→
a
=
^
i
+
3
^
j
+
^
k
→
b
=
2
^
i
−
^
j
−
^
k
→
c
=
λ
^
i
+
7
^
j
+
3
^
k
are coplanar.
Q.
If
→
a
=
2
^
i
+
^
j
+
^
k
,
→
b
=
3
^
i
−
4
^
j
+
2
^
k
,
→
c
=
^
i
−
2
^
j
+
2
^
k
then the projection of
→
a
+
→
b
on
→
c
is
Q.
→
a
=
^
i
+
^
j
+
^
k
,
→
b
=
2
^
i
−
4
^
k
,
→
c
=
^
i
+
λ
^
j
+
3
^
k
are coplanar, then the value of
λ
is
Q.
What is the value of
λ
for which
(
λ
^
i
+
^
j
−
^
k
)
×
(
3
^
i
−
2
^
j
+
4
^
k
)
=
(
2
^
i
−
11
^
j
−
7
^
k
)
?
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