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Byju's Answer
Standard VIII
Mathematics
Multiplication of Monomials
If a →= i ∧+3...
Question
If
a
→
=
i
^
+
3
j
^
-
2
k
^
and
b
→
=
-
i
^
+
3
k
^
,
find
a
→
×
b
→
.
Open in App
Solution
Given
:
a
→
=
i
^
+
3
j
^
-
2
k
^
b
→
=
-
i
^
+
0
j
^
+
3
k
^
∴
a
→
×
b
→
=
i
^
j
^
k
^
1
3
-
2
-
1
0
3
=
9
+
0
i
^
-
3
-
2
j
^
+
0
+
3
k
^
=
9
i
^
-
j
^
+
3
k
^
⇒
a
→
×
b
→
=
9
2
+
-
1
2
+
3
2
=
91
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0
Similar questions
Q.
Find the sum of the vectors :
→
a
=
ˆ
i
−
3
ˆ
k
,
→
b
=
2
ˆ
j
−
ˆ
k
,
→
c
=
2
ˆ
i
−
3
ˆ
j
+
2
ˆ
k
Q.
Find
a
→
b
→
c
→
, when
(i)
a
→
=
2
i
^
-
3
j
^
,
b
→
=
i
^
+
j
^
-
k
^
and
c
→
=
3
i
^
-
k
^
(ii)
a
→
=
i
^
-
2
j
^
+
3
k
^
,
b
→
=
2
i
^
+
j
^
-
k
^
and
c
→
=
j
^
+
k
^
(iii)
a
→
=
2
i
^
+
3
j
^
+
k
^
,
b
→
=
i
^
-
2
j
^
+
k
^
and
c
→
=
-
3
i
^
+
j
^
+
2
k
^
Q.
Show the each of the following triads of vectors are coplanar:
(i)
a
→
=
i
^
+
2
j
^
-
k
^
,
b
→
=
3
i
^
+
2
j
^
+
7
k
^
,
c
→
=
5
i
^
+
6
j
^
+
5
k
^
(ii)
a
→
=
-
4
i
^
-
6
j
^
-
2
k
^
,
b
→
=
-
i
^
+
4
j
^
+
3
k
^
,
c
→
=
-
8
i
^
-
j
^
+
3
k
^
(iii)
a
^
=
i
^
-
2
j
^
+
3
k
^
,
b
^
=
-
2
i
^
+
3
j
^
-
4
k
^
,
c
^
=
i
^
-
3
j
^
+
5
k
^
Q.
Find
a
→
.
b
→
×
c
→
, if
a
→
=
2
i
^
+
j
^
+
3
k
^
,
b
→
=
-
i
^
+
2
j
^
+
k
^
and
c
→
=
3
i
^
+
j
^
+
2
k
^
. [CBSE 2014]
Q.
If
→
A
=
3
ˆ
i
+
3
ˆ
j
and
→
B
=
ˆ
i
−
2
ˆ
j
+
3
ˆ
k
find the magnitude of
→
A
+
→
B
a
n
d
→
A
−
→
B
.
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