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Byju's Answer
Standard XII
Physics
Work Done as Dot Product
Under what co...
Question
Under what conditions will the vectors
→
A
=
3
^
i
−
5
^
j
+
5
^
k
a
n
d
5
^
i
−
^
j
+
b
^
k
be perpendicular to each other?
Find the value of |b|?
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Solution
The condition of two vectors are to be perpendicular to each other if dot product of two vectors is zero. i.e,
→
A
.
→
B
=
0
or
(
3
^
i
−
5
^
j
+
5
^
k
)
.
(
5
^
i
−
^
j
+
b
^
k
)
=
0
or
15
+
5
+
5
b
=
0
or
b
=
−
4
or
|
b
|
=
|
−
4
|
=
4
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0
Similar questions
Q.
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i
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Q.
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