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Byju's Answer
Standard XII
Mathematics
Skew Symmetric Matrix
If a⃗ =î -3...
Question
If
→
a
=
^
i
−
3
^
j
+
2
^
k
,
→
b
=
3
^
j
+
4
^
k
and
→
c
=
2
^
k
−
3
^
i
, find
(
→
a
×
→
b
)
.
→
c
.
Open in App
Solution
(
→
a
×
→
b
)
.
→
c
=
∣
∣ ∣
∣
1
−
3
2
0
3
4
−
3
0
2
∣
∣ ∣
∣
=
1
(
6
−
0
)
+
3
(
0
+
12
)
+
2
(
0
+
9
)
=
6
+
36
+
18
=
60
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Similar questions
Q.
If
→
a
=
3
^
i
+
2
^
j
+
2
^
k
,
→
b
=
−
^
i
+
3
^
j
−
^
k
,
→
c
=
^
i
+
^
j
+
^
k
, then find the value of
→
a
×
(
→
b
×
→
c
)
and
(
→
a
×
→
b
)
×
→
c
Q.
I: If
→
a
=
3
^
i
−
2
^
j
+
^
k
,
→
b
=
2
^
i
−
4
^
j
−
3
^
k
,
→
c
=
−
^
i
+
2
^
j
+
2
^
k
then
→
a
+
→
b
+
→
c
=
4
^
i
−
4
^
j
II: If
→
a
=
^
i
−
^
j
+
2
^
k
,
→
b
=
2
^
i
+
3
^
j
+
^
k
,
→
c
=
^
i
−
^
k
, then magnitude of
→
a
+
2
→
b
−
3
→
c
is
√
78
Q.
Let
→
a
=
2
^
i
−
3
^
j
+
4
^
k
,
→
b
=
^
i
−
^
j
+
2
^
k
and
→
c
=
6
^
i
−
3
^
j
+
^
k
, then find
→
d
which is perpendicular to both
→
a
and
→
b
and
→
c
.
→
d
=
2
Q.
If
→
a
=
2
^
i
−
3
^
j
+
5
^
k
,
→
b
=
3
^
i
−
4
^
j
+
5
^
k
and
→
c
=
5
^
i
−
3
^
j
−
2
^
k
, then the volume of the parallelopiped with conterminous edges
→
a
+
→
b
,
→
b
+
→
c
,
→
c
+
→
a
is
Q.
If
→
a
=
2
^
i
+
3
^
j
+
^
k
,
→
b
=
^
i
−
2
^
j
+
^
k
and
→
c
=
−
3
^
i
+
^
j
+
2
^
k
,
find
[
→
a
→
b
→
c
]
.
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