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Byju's Answer
Standard XII
Physics
Vector Component
If P⃗ = 2î ...
Question
If
→
P
=
2
^
i
+
3
^
j
−
^
k
and
→
Q
=
2
^
i
−
5
^
j
+
2
^
k
.Find (i)
→
P
+
→
Q
(iI)
3
→
P
−
2
→
Q
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Solution
(i) :
→
P
+
→
Q
=
(
2
^
i
+
3
^
j
−
^
k
)
+
(
2
^
i
−
5
^
j
+
2
^
k
)
=
4
^
i
−
2
^
j
+
^
k
(ii) :
3
→
P
−
2
→
Q
=
3
×
(
2
^
i
+
3
^
j
−
^
k
)
−
2
×
(
2
^
i
−
5
^
j
+
2
^
k
)
=
2
^
i
−
^
j
+
−
7
^
k
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0
Similar questions
Q.
Find
→
P
.
→
Q
where
→
P
=
2
^
i
+
^
j
+
^
k
and
→
Q
=
^
i
−
^
j
+
2
^
k
Q.
Find the area of parallelogram with adjacent sides formed by
→
P
and
→
Q
, where
→
P
=
2
^
i
+
3
^
j
+
4
^
k
and
→
Q
=
3
^
i
+
2
^
j
−
2
^
k
expressed in metre.
Q.
If
[
→
p
+
2
→
q
+
3
→
r
→
q
+
2
→
r
+
3
→
p
→
r
+
2
→
p
+
3
→
q
]
=
54
where
→
p
,
→
q
and
→
r
are three vector then the
Value of
∣
∣ ∣
∣
→
p
.
→
p
→
p
.
→
q
→
p
.
→
r
→
p
.
→
q
→
q
.
→
q
→
q
.
→
r
→
p
.
→
r
→
r
.
→
q
→
r
.
→
r
∣
∣ ∣
∣
is
Q.
If
→
P
=
^
i
+
2
^
k
and
→
Q
=
2
^
i
+
^
j
−
2
^
k
are two vectors, find the unit vector parallel to
→
P
×
→
Q
. Also find the vector perpendicular to
P
and
Q
of magnitude
6
units.
Q.
If
|
→
p
|
=
|
→
q
|
=
2
,
(
→
p
,
→
q
)
=
π
/
3
and
→
a
=
3
→
p
−
→
q
,
→
b
=
→
p
+
3
→
q
, then for the parallelogram with sides
→
a
,
→
b
I: Lengths of sides are
√
28
,
√
52
II: Lengths of diagonals are
√
112
,
√
48
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