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Byju's Answer
Standard VIII
Mathematics
Polynomials
If a →=3 ii-j...
Question
If
a
→
=
3
i
^
-
j
^
-
4
k
^
,
b
→
=
-
2
i
^
+
4
j
^
-
3
k
^
and
c
→
=
i
^
+
2
j
^
-
k
^
,
find
3
a
→
-
2
b
→
+
4
c
→
.
Open in App
Solution
Given:
a
→
=
3
i
^
-
j
^
-
4
k
^
,
b
→
=
-
2
i
^
+
4
j
^
-
3
k
^
and
c
→
=
i
^
+
2
j
^
-
k
^
.
Now
,
3
a
→
-
2
b
→
+
4
c
→
=
3
3
i
^
-
j
^
-
4
k
^
-
2
-
2
i
^
+
4
j
^
-
3
k
^
+
4
i
^
+
2
j
^
-
k
^
=
9
i
^
-
3
j
^
-
12
k
^
+
4
i
^
-
8
j
^
+
6
k
^
+
4
i
^
+
8
j
^
-
4
k
^
=
17
i
^
-
3
j
^
-
10
k
^
Hence,
3
a
→
-
2
b
→
+
4
c
→
=
17
2
+
-
3
2
+
-
10
2
=
289
+
9
+
100
=
398
Suggest Corrections
0
Similar questions
Q.
If
a
→
=
3
i
^
-
j
^
-
4
k
^
,
b
→
=
-
2
i
^
+
4
j
^
-
3
k
^
and
c
→
=
i
^
+
2
j
^
-
k
^
,
find
3
a
→
-
2
b
→
+
4
c
→
.
Q.
Let
a
→
=
i
^
+
4
j
^
+
2
k
^
,
b
→
=
3
i
^
-
2
j
^
+
7
k
^
and
c
→
=
2
i
^
-
j
^
+
4
k
^
.
Find a vector
d
→
which is perpendicular to both
a
→
and
b
→
and
c
→
·
d
→
=
15
.
Q.
Find the cross products of the vectors
1.
a
=
i
−
2
j
+
3
k
,
b
=
3
i
−
6
j
+
9
k
2.
a
=
−
2
i
−
4
k
,
b
=
i
−
2
j
−
k
,
c
=
i
−
4
j
+
3
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
^
Q.
If
→
a
=
2
ˆ
i
+
ˆ
j
−
3
ˆ
k
and
→
b
=
ˆ
i
−
4
ˆ
k
then, find
|
→
a
−
→
b
|
.
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