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Byju's Answer
Standard XII
Mathematics
Applications of Dot Product
The number of...
Question
The number of vectors of unit length perpendicular to vectors
→
a
=
^
i
+
^
j
and
→
b
=
^
j
+
^
k
is
A
1
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B
2
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C
3
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D
none
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Solution
The correct option is
D
2
let the vector be
→
C
=
C
1
^
i
+
C
2
^
j
+
C
3
^
k
→
a
.
→
b
=
0
⇒
C
1
+
C
2
=
0
→
b
.
→
c
=
0
⇒
C
2
+
C
3
=
0
→
C
=
−
C
2
^
i
+
C
2
^
j
−
C
2
^
k
∣
∣
→
C
∣
∣
=
1
∴
√
3
C
2
2
=
1
⇒
C
2
=
±
1
√
3
Suggest Corrections
0
Similar questions
Q.
The number of vectors of unit length perpendicular to the vectors
→
a
=
^
i
+
^
j
and
→
b
=
^
j
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, is
Q.
The unit vector perpendicular to the plane containing the vectors
→
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^
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write the number of vectors of unit length perpendicular to both the vectors
→
a
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i
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^
j
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and
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Which one of the following is the unit vector perpendicular to both
→
a
=
−
^
i
+
^
j
+
^
k
and
→
b
=
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j
+
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Find a unit vector perpendicular to each of the vector
(
→
a
+
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and
(
→
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−
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→
a
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^
i
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b
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i
+
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^
j
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