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Byju's Answer
Standard XI
Statistics
Calculation of Correlation Coefficient
a = - 2 î + ĵ...
Question
→
a
=
−
2
^
i
+
^
j
+
^
k
,
→
b
=
^
i
+
5
^
j
a
n
d
→
c
=
4
^
i
+
4
^
j
+
2
^
k
the projection of the vector
3
→
a
−
2
→
b
on the vector
→
c
is
A
11
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B
-11
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C
13
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D
none of these
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Solution
The correct option is
D
none of these
Given vectors,
→
a
=
−
2
→
i
+
→
j
+
→
k
→
b
=
→
i
+
5
→
j
→
c
=
4
→
i
+
4
→
j
+
2
→
k
⇒
3
→
a
−
2
→
b
=
3
(
−
2
→
i
+
→
j
+
→
k
)
−
2
(
→
i
+
5
→
j
)
=
−
6
→
i
+
3
→
j
+
3
→
k
−
2
→
i
−
10
→
j
=
−
8
→
i
−
7
→
j
+
3
k
⇒
Now unit vector along
→
c
will be given as
^
c
=
→
c
|
→
c
|
=
4
^
i
+
4
^
j
+
2
^
k
√
4
2
+
4
2
+
2
2
4
6
^
i
+
4
6
^
j
+
2
6
^
k
=
(
3
→
a
−
2
→
b
)
^
.
c
(
−
8
^
i
−
7
^
j
+
3
^
k
)
.
(
4
6
^
i
+
4
6
^
j
+
2
6
^
k
)
=
−
8
×
4
6
−
7
×
4
6
+
3
×
2
6
=
−
32
6
−
28
6
+
6
6
=
−
16
3
−
14
3
+
1
=
−
16
−
14
+
3
3
=
−
27
3
=
−
9
Ans is
(
D
)
None of these
Suggest Corrections
1
Similar questions
Q.
If
→
a
=
2
^
i
+
^
j
+
^
k
,
→
b
=
3
^
i
−
4
^
j
+
2
^
k
,
→
c
=
^
i
−
2
^
j
+
2
^
k
then the projection of
→
a
+
→
b
on
→
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
Q.
Let
→
a
=
^
i
+
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
and
→
c
=
^
i
−
^
j
−
^
k
be three vectors. A vector
→
v
in the plane of
→
a
and
→
b
, whose projection on
→
c
is
1
√
3
, is given by
Q.
The orthogonal projection vector of
→
a
=
^
i
−
2
^
j
+
^
k
on
→
b
=
4
^
i
−
4
^
j
+
7
^
k
is:
Q.
Let
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
and
→
c
=
^
i
+
^
j
−
^
k
. A vector in the plane of
→
a
and
→
b
, where projection on
→
c
is
1
√
3
, is
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