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Byju's Answer
Standard XII
Mathematics
Algebra of Complex Numbers
Find → a ·→ b...
Question
Find
→
a
.
(
→
b
×
→
c
)
,if
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
a
n
d
→
c
=
3
^
i
+
^
j
+
2
^
k
.
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Solution
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
,
→
c
=
3
^
i
+
^
j
+
2
^
k
.
→
a
.
(
→
b
×
→
c
)
=
[
→
a
→
b
→
c
]
=
∣
∣ ∣
∣
2
1
3
−
1
2
1
3
1
2
∣
∣ ∣
∣
=
2
(
4
−
1
)
−
1
(
−
2
−
3
)
+
3
(
−
1
−
6
)
=
6
+
5
−
21
=
−
10
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0
Similar questions
Q.
Find
→
a
.
(
→
b
×
→
c
)
, if
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
and
→
c
=
3
^
i
+
^
j
+
2
^
k
.
Q.
If
→
a
=
2
^
i
+
3
^
j
+
^
k
,
→
b
=
^
i
−
2
^
j
+
^
k
and
→
c
=
−
3
^
i
+
^
j
+
2
^
k
,
find
[
→
a
→
b
→
c
]
.
Q.
If
→
r
=
3
^
i
+
2
^
j
−
5
^
k
,
→
a
=
2
^
i
−
^
j
+
^
k
,
→
b
=
^
i
+
3
^
j
−
2
^
k
and
→
c
=
−
2
^
i
+
^
j
−
3
^
k
such that
→
r
=
x
→
a
+
y
→
b
+
z
→
c
, then
Q.
If
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
and
→
c
=
3
^
i
+
^
j
+
2
^
k
. Find
→
a
⋅
(
→
b
×
→
c
)
.
Q.
If
a
=
−
^
i
+
^
j
+
2
^
k
,
b
=
2
^
i
−
^
j
−
^
k
then
c
=
−
2
^
i
+
^
j
+
3
^
k
, then the angle between 2a-c and a+b is:
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