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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
Find the sum ...
Question
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
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Solution
→
a
=
ˆ
i
−
3
ˆ
k
,
→
b
=
2
ˆ
j
−
ˆ
k
,
→
c
=
2
ˆ
i
−
3
ˆ
j
+
2
ˆ
k
→
a
+
→
b
+
→
c
=
3
ˆ
i
−
ˆ
j
−
2
ˆ
k
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0
Similar questions
Q.
Find the sum of the following vectors:
a
→
=
i
^
-
2
j
^
,
b
→
=
2
i
^
-
3
j
^
,
c
→
=
2
i
^
+
3
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 the value of λ so that the following vectors are coplanar:
(i)
a
→
=
i
^
-
j
^
+
k
^
,
b
→
=
2
i
^
+
j
^
-
k
^
,
c
→
=
λ
i
^
-
j
^
+
λ
k
^
(ii)
a
→
=
2
i
^
-
j
^
+
k
^
,
b
→
=
i
^
+
2
j
^
-
3
k
^
,
c
→
=
λ
i
^
+
λ
j
^
+
5
k
^
(iii)
a
→
=
i
^
+
2
j
^
-
3
k
^
,
b
→
=
3
i
^
+
λ
j
^
+
k
^
,
c
→
=
i
^
+
2
j
^
+
2
k
^
(iv)
a
→
=
i
^
+
3
j
^
,
b
→
=
5
k
^
,
c
→
=
λ
i
^
-
j
^
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.
The vectors
2
¯
i
−
3
¯
j
+
4
¯
¯
¯
k
,
¯
i
−
2
¯
j
+
3
¯
¯
¯
k
and
3
¯
i
+
¯
j
−
2
¯
¯
¯
k
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