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Manipal Entrance Test 2013 Math Paper
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© examsnet.com
Question : 25
Total: 80
If the scalar projection of the vector
x
i
−
j
+
k
on the vector
2
i
−
j
+
5
k
is
1
√
30
then value of
x
is equal to
−
5
2
6
-6
3
Validate
Solution:
Projection of
x
i
−
j
+
k
on
2
i
−
j
+
5
k
=
c
(
x
i
−
j
+
k
)
.
(
2
i
−
j
+
z
k
)
√
4
+
1
+
25
=
2
x
+
1
+
5
√
30
But, given,
2
x
+
6
√
30
=
1
√
30
⇒
2
x
+
6
=
1
⇒
x
=
−
5
2
© examsnet.com
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