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Mathematics
Mathematics
Problem
If
A
⃗
\vec{A}
A
,
B
⃗
\vec{B}
B
and
C
⃗
\vec{C}
C
are three non-coplanar vectors then
(
A
⃗
+
B
⃗
+
C
⃗
)
⋅
[
(
A
⃗
+
B
⃗
)
×
(
A
⃗
+
C
⃗
)
]
(\vec{A} + \vec{B} + \vec{C}) \cdot [(\vec{A} + \vec{B}) \times (\vec{A} + \vec{C})]
(
A
+
B
+
C
)
⋅
[(
A
+
B
)
×
(
A
+
C
)]
equals - (A) 0 (C)
2
[
A
⃗
B
⃗
C
⃗
]
2[\vec{A} \vec{B} \vec{C}]
2
[
A
B
C
]
(B)
[
A
⃗
B
⃗
C
⃗
]
[\vec{A} \vec{B} \vec{C}]
[
A
B
C
]
(D)
−
[
A
⃗
B
⃗
C
⃗
]
-[\vec{A} \vec{B} \vec{C}]
−
[
A
B
C
]
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