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Byju's Answer
Standard XII
Physics
Work Done as Dot Product
The resultant...
Question
The resultant of two vectors
→
A
and
→
B
is at right angles to
→
A
and Vector
→
A
magnitude is half of
→
B
.
Find the angle between
→
A
and
→
B
in degrees
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Solution
Right angle means dot product is zero.
Thus,
(
→
A
+
→
B
)
.
→
A
=
0
,
i
.
e
.
A
2
+
A
B
c
o
s
θ
=
0.
Given:
A
=
B
2
which gives
A
2
+
A
.2
A
.
c
o
s
θ
=
0
o
r
c
o
s
θ
=
−
1
2
Thus,
θ
=
120
∘
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