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Byju's Answer
Standard VIII
Mathematics
Multiplication of Monomials
If a →=2 i ∧-...
Question
If
a
→
=
2
i
^
-
3
j
^
-
k
^
and
b
→
=
i
^
+
4
j
^
-
2
k
^
,
then
a
→
×
b
→
is
(a)
10
i
^
+
2
j
^
+
11
k
^
(b)
10
i
^
+
3
j
^
+
11
k
^
(c)
10
i
^
-
3
j
^
+
11
k
^
(d)
10
i
^
-
2
j
^
-
10
k
^
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Solution
(b)
10
i
^
+
3
j
^
+
11
k
^
a
→
×
b
→
=
i
^
j
^
k
^
2
-
3
-
1
1
4
-
2
=
10
i
^
+
3
j
^
+
11
k
^
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2
Similar questions
Q.
Find
a
→
·
b
→
when
(i)
a
→
=
i
^
-
2
j
^
+
k
^
and
b
→
=
4
i
^
-
4
j
^
+
7
k
^
(ii)
a
→
=
j
^
+
2
k
^
and
b
→
=
2
i
^
+
k
^
(iii)
a
→
=
j
^
-
k
^
and
b
→
=
2
i
^
+
3
j
^
-
2
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.
Find the volume of the parallelopiped whose coterminous edges are represented by the vectors:
(i)
a
→
=
2
i
^
+
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
=
3
i
^
-
j
^
+
2
k
^
(ii)
a
→
=
2
i
^
-
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
=
3
i
^
-
j
^
-
2
k
^
(iii)
a
→
=
11
i
^
,
b
→
=
2
j
^
,
c
→
=
13
k
^
(iv)
a
→
=
i
^
+
j
^
+
k
^
,
b
→
=
i
^
-
j
^
+
k
^
,
c
→
=
i
^
+
2
j
^
-
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.
If
a
=
i
+
j
+
k
,
b
=
i
+
3
j
+
5
k
and
c
=
7
i
+
9
j
+
11
k
, then the area of Parallelogram having diagonals a+b and b+c is.
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