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UPSC NDA Math Model Paper 6
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© examsnet.com
Question : 56
Total: 120
Which one of the following vectors is normal to the vector
^
i
+
^
j
−
^
k
?
^
i
+
^
j
−
^
k
^
i
−
^
j
+
^
k
^
i
−
^
j
−
^
k
None of the above
Validate
Solution:
The dot product of normal and the given vector will be zero
1.
(
^
i
+
^
j
+
^
k
)
.
(
^
i
+
^
j
−
^
k
)
=
1
+
1
−
1
≠
0
2.
(
^
i
+
^
j
+
^
k
)
.
(
^
i
−
^
j
+
^
k
)
=
1
−
1
+
1
≠
0
3.
(
^
i
+
^
j
−
^
k
)
.
(
^
i
−
^
j
+
^
k
)
=
1
−
1
−
1
≠
0
Hence, option (4) is correct.
© examsnet.com
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