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BITSAT 2006 Solved Question Paper
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Section:
Mathematics
© examsiri.com
Question :
14 of 150
Marks:
+1
,
-0
The projection of the vector
2
^
i
+
^
j
−
3
^
k
on the vector
^
i
−
2
^
j
+
^
k
is :
−
3
√
14
3
√
14
−
√
3
2
3
√
2
Validate
Solution:
Let
→
a
=
2
^
i
+
^
j
−
3
^
k
and
→
b
=
^
i
−
2
^
j
+
^
k
Projection of
→
a
on
→
b
=
→
a
.
→
b
|
→
b
|
=
(
2
^
i
+
^
j
−
3
^
k
)
.
(
^
i
−
2
^
j
+
^
k
)
√
1
2
+
(
−
2
)
2
+
1
2
=
2
−
2
−
3
√
6
=
−
3
√
6
=
−
√
3
2
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