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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
Find the sum ...
Question
Find the sum of the vectors
→
a
=
^
i
−
2
^
j
+
^
k
,
→
b
=
−
2
^
i
+
4
^
j
+
5
^
k
and
→
c
=
^
i
−
6
^
j
−
7
^
k
.
Open in App
Solution
The given vectors are
→
a
=
^
i
−
2
^
j
+
^
k
,
→
b
=
−
2
^
i
+
4
^
j
+
5
^
k
and
→
c
=
^
i
−
6
^
j
−
7
^
k
∴
→
a
+
→
b
+
→
c
=
(
1
−
2
+
1
)
^
i
+
(
−
2
+
4
−
6
)
^
j
+
(
1
+
5
−
7
)
^
k
=
0
⋅
^
i
−
4
^
j
−
1
⋅
^
k
=
−
4
^
j
−
^
k
Suggest Corrections
36
Similar questions
Q.
Find the sum of the vectors
a
=
^
i
−
2
^
j
+
^
k
,
b
=
−
2
^
i
+
4
^
j
+
5
^
k
a
n
d
c
=
^
i
−
6
^
j
−
7
^
k
.
Q.
Find the sum of the following vectors:
→
a
=
^
i
−
3
^
k
,
.
→
b
=
2
^
j
−
^
k
,
→
c
=
2
^
i
−
3
^
j
+
2
^
k
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.
If
→
a
=
^
i
+
2
^
j
+
4
^
k
,
→
b
=
2
^
i
−
3
^
j
+
^
k
,
→
c
=
^
i
+
4
^
j
−
4
^
k
then the vector
→
a
×
(
→
b
×
→
c
)
is orthogonal to
Q.
If
→
A
=
2
^
i
−
3
^
j
+
7
^
k
,
→
B
=
^
i
+
2
^
j
and
→
C
=
^
j
−
^
k
.
Find
→
A
⋅
(
→
B
×
→
C
)
.
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