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COMEDK Exam 2013 Solved Paper
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© examsiri.com
Question :
129 of 180
Marks:
+1
,
-0
The projection of
a
=
2
^
i
+
3
^
j
−
2
^
k
on
b
=
^
i
+
2
^
j
+
3
^
k
is
‌
1
√
14
‌
2
√
14
√
14
‌
−
2
√
14
Validate
Solution:
We have,
a
=
2
^
i
+
3
^
j
−
2
^
k
,
b
=
^
i
+
2
^
j
+
3
^
k
Now,
a
.
b
=
(
2
^
i
+
3
^
j
−
2
^
k
)
.
(
^
i
+
2
^
j
+
3
^
k
)
=
2
+
6
−
6
=
2
and
|
b
|
=
√
(
1
)
2
+
(
2
)
2
+
(
3
)
2
=
√
1
+
4
+
9
=
√
14
∴ Projection of
a
on
b
=
a
.
b
|
b
|
=
2
√
14
© examsiri.com
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