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Mathematics
Mathematics
Problem
If
A
=
B
+
C
A = B + C
A
=
B
+
C
and the magnitudes of
A
⃗
\vec{A}
A
,
B
⃗
\vec{B}
B
and
C
⃗
\vec{C}
C
are 5, 4 and 3, respectively, then the angle between
A
⃗
\vec{A}
A
and
C
⃗
\vec{C}
C
is (A)
sin
−
1
(
3
5
)
\sin^{-1} \left( \frac{3}{5} \right)
sin
−
1
(
5
3
)
(B)
cos
−
1
(
3
5
)
\cos^{-1} \left( \frac{3}{5} \right)
cos
−
1
(
5
3
)
(C)
cos
−
1
(
4
5
)
\cos^{-1}\left(\frac{4}{5}\right)
cos
−
1
(
5
4
)
(D)
sin
−
1
(
4
5
)
\sin^{-1}\left(\frac{4}{5}\right)
sin
−
1
(
5
4
)
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