2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Integration of Irrational Algebraic Fractions - 1
If O⃗P⃗ = î...
Question
If
→
O
P
=
^
i
+
4
^
j
−
3
^
k
and
→
O
Q
=
2
^
i
−
2
^
j
−
^
k
then find the modulus of
→
P
Q
.
Open in App
Solution
Given:
→
O
P
=
^
i
+
4
^
j
−
3
^
k
and
→
O
Q
=
2
^
i
−
2
^
j
−
^
k
Find the modulus of
→
P
Q
∴
→
P
Q
=
→
O
Q
−
→
P
O
=
2
^
i
−
2
^
j
−
^
k
−
(
^
i
+
4
^
j
−
3
^
k
)
=
2
^
i
−
2
^
j
−
^
k
−
^
i
−
4
^
j
+
3
^
k
⇒
→
P
Q
=
^
i
−
6
^
j
+
2
^
k
∴
M
o
d
u
l
u
s
=
|
→
P
Q
|
=
|
^
i
−
6
^
j
+
2
^
k
|
=
√
(
1
)
2
−
(
−
6
)
2
+
2
2
=
√
1
+
36
+
4
=
√
41
.
Suggest Corrections
0
Similar questions
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
=
2
^
i
+
4
^
j
+
3
^
k
,
→
b
=
^
i
+
2
^
j
+
^
k
,
then the scalar product and the angle between them are
Q.
If
→
A
B
=
3
^
i
−
2
^
j
+
^
k
,
→
B
C
=
^
i
+
2
^
j
−
^
k
,
→
C
D
=
2
^
i
+
^
j
+
3
^
k
,
→
O
A
=
^
i
+
^
j
+
^
k
, then the position vector of
→
O
D
is
Q.
The position vector of the points
A
,
B
,
C
are
(
2
^
i
+
^
j
−
^
k
)
,
(
3
^
i
−
2
^
j
+
^
k
)
and
(
^
i
+
4
^
j
−
3
^
k
)
respectively. These points
Q.
The position vectors of the points
A
,
B
,
C
are
2
^
i
+
^
j
−
^
k
,
3
^
i
−
2
^
j
+
^
k
and
^
i
+
4
^
j
−
3
^
k
, respectively. These points
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Integration of Irrational Algebraic Fractions - 1
MATHEMATICS
Watch in App
Explore more
Integration of Irrational Algebraic Fractions - 1
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app