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CGPET 2019 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
150 of 150
Marks:
+1
,
-0
The vector
2
^
i
+
^
j
−
^
k
is perpendicular to
^
i
−
4
^
j
+
λ
^
k
, then
λ
is equal to
−
2
-1
−
3
0
Validate
Solution:
Let
a
=
2
^
i
+
^
j
−
^
k
And
b
=
^
i
−
4
^
j
+
λ
^
k
If two vectors
a
and
b
are perpendicular,
Then,
a
.
b
=
0
(
2
^
i
+
^
j
−
^
k
)
.
(
^
i
−
4
^
j
+
λ
^
k
)
=
0
⇒
2
−
4
−
λ
=
0
⇒
−
2
−
λ
=
0
⇒
λ
=
−
2
© examsiri.com
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