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Byju's Answer
Standard XII
Physics
Vector Addition
Find the proj...
Question
Find the projection of vector
(
→
b
+
→
c
)
on vector
→
a
where
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
+
3
^
j
+
^
k
and
→
c
=
^
i
+
^
k
.
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Solution
→
a
=
^
i
+
2
^
j
+
^
k
→
b
=
^
i
+
3
^
j
+
^
k
→
b
+
→
c
=
(
^
i
+
3
^
j
+
^
k
)
+
(
^
i
+
^
k
)
=
2
^
i
+
3
^
j
+
2
^
k
Projection of
(
→
b
+
→
c
)
on
→
a
(
→
b
+
→
c
)
→
a
|
→
a
|
=
(
2
^
i
+
3
^
j
+
2
^
k
)
(
^
i
+
2
^
j
+
^
k
)
∣
∣
^
i
+
2
^
j
+
^
k
∣
∣
=
2
+
6
+
2
√
1
+
4
+
1
=
10
√
6
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0
Similar questions
Q.
If
→
a
=
^
i
+
^
j
−
^
k
,
→
b
=
−
^
i
+
2
^
j
+
2
^
k
&
→
c
=
−
^
i
+
2
^
j
−
^
k
, find a unit vectors normal to the vectors
→
a
+
→
b
and
→
b
+
→
c
.
Q.
If
→
a
=
3
^
i
+
2
^
j
+
2
^
k
,
→
b
=
−
^
i
+
3
^
j
−
^
k
,
→
c
=
^
i
+
^
j
+
^
k
, then find the value of
→
a
×
(
→
b
×
→
c
)
and
(
→
a
×
→
b
)
×
→
c
Q.
Let
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
and
→
c
=
^
i
+
^
j
−
^
k
.The vector in the plane of
→
a
and
→
b
, whose projection on C is
Q.
Given
→
a
=
^
i
+
^
j
−
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
and
→
c
=
−
^
i
+
2
^
i
−
^
k
.
A
unit vector perpendicular to both
→
a
+
→
b
&
→
b
+
→
c
is
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
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