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Standard XII
Physics
Vector Addition
Question
Unit vector
n
=
a
^
i
+
b
^
j
is perpendicular to the vector
(
^
i
+
^
j
)
, then the value of a and b may be:
1
,
0
−
2
,
0
3
,
0
1
√
2
,
−
1
√
2
A
−
2
,
0
B
1
√
2
,
−
1
√
2
C
3
,
0
D
1
,
0
Open in App
Solution
Verified by Toppr
Since
(
a
^
i
+
b
^
j
)
⊥
(
^
i
+
^
j
)
Let
^
i
+
^
j
=
→
B
Also we know dot product of two vectors =0
Thus
(
a
^
i
+
b
^
j
)
.
(
^
i
+
^
j
)
=
0
a
+
b
=
0
a
=
−
b
-----------(1)
As we know n=1 as n is a unit vector
|
n
|
=
√
a
2
+
b
2
=
1
a
2
+
b
2
=
1
(
−
b
)
2
+
b
2
=
1
b
=
1
√
2
and
a
=
−
1
√
2
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2
Similar Questions
Q1
Unit vector
n
=
a
^
i
+
b
^
j
is perpendicular to the vector
(
^
i
+
^
j
)
, then the value of a and b may be:
View Solution
Q2
If
^
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^
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Q4
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If the vectors
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