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Byju's Answer
Standard VIII
Mathematics
Polynomials
If a →=3 ii-j...
Question
If
a
→
=
3
i
^
-
j
^
-
2
k
^
and
b
→
=
2
i
^
+
3
j
^
+
k
^
,
find
a
→
+
2
b
→
×
2
a
→
-
b
→
.
Open in App
Solution
Given
:
a
→
=
3
i
^
-
j
^
-
2
k
^
b
→
=
2
i
^
+
3
j
^
+
k
^
∴
a
→
+
2
b
→
=
3
i
^
-
j
^
-
2
k
^
+
2
2
i
^
+
3
j
^
+
k
^
=
7
i
^
+
5
j
^
+
0
k
^
∴
2
a
→
-
b
→
=
2
3
i
^
-
j
^
-
2
k
^
-
2
i
^
+
3
j
^
+
k
^
=
4
i
^
-
5
j
^
-
5
k
^
a
→
+
2
b
→
×
2
a
→
-
b
→
=
i
^
j
^
k
^
7
5
0
4
-
5
-
5
=
i
^
-
25
+
0
-
j
^
-
35
+
0
+
k
^
-
35
-
20
=
-
25
i
^
+
35
j
^
-
55
k
^
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0
Similar questions
Q.
If
¯
¯
¯
a
=
3
¯
i
−
¯
j
−
2
¯
¯
¯
k
,
¯
¯
b
=
2
¯
i
+
3
¯
j
+
¯
¯
¯
k
, then
(
¯
¯
¯
a
+
2
¯
¯
b
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×
(
2
¯
¯
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a
−
¯
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b
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=
Q.
Find
(
3
A
−
2
B
)
.
If
A
=
(
2
i
+
3
j
−
k
)
and
B
=
(
2
i
−
5
j
+
2
k
)
.
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 angle between the vectors
a
→
and
b
→
, where
(i)
a
→
=
i
^
-
j
^
and
b
→
=
j
^
+
k
^
(ii)
a
→
=
3
i
^
-
2
j
^
-
6
k
^
and
b
→
=
4
i
^
-
j
^
+
8
k
^
(iii)
a
→
=
2
i
^
-
j
^
+
2
k
^
and
b
→
=
4
i
^
+
4
j
^
-
2
k
^
(iv)
a
→
=
2
i
^
-
3
j
^
+
k
^
and
b
→
=
i
^
+
j
^
-
2
k
^
(v)
a
→
=
i
^
+
2
j
^
-
k
^
,
b
→
=
i
^
-
j
^
+
k
^
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