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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
If a =4î -ĵ...
Question
If
→
a
=
4
^
i
−
^
j
+
^
k
and
→
b
=
2
^
i
−
2
^
j
+
^
k
, then find a unit vector parallel to the vector
→
a
+
→
b
.
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Solution
→
a
=
4
^
i
−
^
j
+
^
k
and
→
b
=
2
^
i
−
2
^
j
+
^
k
→
a
+
→
b
=
6
i
−
3
j
+
2
k
Unit vector parallel to
a
+
b
=
(
6
i
−
3
j
+
2
k
)
/
√
6
2
+
3
2
+
2
2
=
1
7
(
6
i
−
3
j
+
2
k
)
.
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Similar questions
Q.
If
a
=
^
i
+
^
j
+
^
k
,
b
=
2
^
i
−
^
j
+
3
^
k
a
n
d
c
=
^
i
−
2
^
j
+
^
k
find a unit vector parallel to the vector 2a - b + 3c.
Q.
If
→
a
=
^
i
+
^
j
+
^
k
,
→
b
=
2
^
i
−
^
j
+
3
^
k
and
→
c
=
^
i
−
2
^
j
+
^
k
find a unit vector parallel to the vector.
2
→
a
−
→
b
+
3
→
c
Q.
If
→
a
=
^
i
+
^
j
+
^
k
,
→
b
=
2
^
i
−
^
j
+
3
^
k
and
→
c
=
^
i
−
2
^
j
+
^
k
, find a unit vector parallel to the vector
2
→
a
−
→
b
+
3
→
c
.
Q.
Let,
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
,
→
c
=
^
i
+
^
j
−
^
k
.
A vector coplanar to
→
a
and
→
b
has a projection along
→
c
of magnitude
1
√
3
, then the vector is
Q.
If
→
a
=
^
i
+
^
j
−
^
k
,
→
b
=
^
i
−
^
j
+
^
k
, and
→
c
is unit vector perpendicular to the vector
→
a
and coplanar with
→
a
and
→
b
then a unit vector
→
d
perpendicular to both
→
a
and
→
c
, is
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Addition of Vectors
Standard XII Mathematics
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