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Byju's Answer
Standard XII
Physics
Work Done as Dot Product
The vector ...
Question
The vector
^
B
=
4
^
i
+
2
^
j
−
S
^
k
is perpendicular to the vector
→
A
=
3
^
i
+
^
j
+
2
^
k
if
S
=
A
1
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B
7
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C
6
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D
8
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Solution
The correct option is
B
7
→
B
is perpendicular to
→
A
if,
→
B
.
→
A
=
0
(
4
^
i
+
2
^
j
−
S
^
k
)
.
(
3
^
i
+
^
j
+
2
^
k
)
=
0
or,
12
+
2
−
2
S
=
0
⇒
S
=
7
Suggest Corrections
0
Similar questions
Q.
If
→
A
=
2
→
i
−
^
j
+
3
^
k
&
→
B
=
3
^
i
−
2
^
j
+
2
^
k
. Find the unit vector of
(
→
A
+
→
B
)
Q.
Find a unit vector perpendicular to each of the vector
→
a
+
→
b
and
→
a
−
→
b
, where
→
a
=
3
^
i
+
2
^
j
+
2
^
k
and
→
b
=
^
i
+
2
^
j
−
2
^
k
.
Q.
Find a unit vector perpendicular to each of the vectors
→
a
+
→
b
and
→
a
−
→
b
where
→
a
=
3
^
i
+
2
^
j
+
2
^
k
and
→
b
=
^
i
+
2
^
j
−
2
^
k
.
Q.
Find the projection of the vector
→
a
=
4
^
i
−
2
^
j
+
^
k
on the vector
→
b
=
3
^
i
+
6
^
j
+
2
^
k
. Also find component of
→
a
along
→
b
and perpendicular to
→
b
.
Q.
Find a unit vector perpendicular to the vectors
→
A
=
4
^
i
−
^
j
+
3
^
k
and
→
B
=
−
2
^
i
+
^
j
−
2
^
k
.
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