IB Mathematics Analysis and Approaches Quiz
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GEOMETRY AND TRIGONOMETRY
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To prove using vectors that a given quadrilateral ABCD is not a parallelogram, which of the following conditions would be sufficient?
A
A
B
⃗
⋅
D
C
⃗
≠
0
\vec{AB} \cdot \vec{DC} \ne 0
A
B
⋅
D
C
=
0
B
A
C
⃗
≠
B
D
⃗
\vec{AC} \ne \vec{BD}
A
C
=
B
D
C
A
B
⃗
+
B
C
⃗
+
C
D
⃗
+
D
A
⃗
=
0
\vec{AB} + \vec{BC} + \vec{CD} + \vec{DA} = \mathbf{0}
A
B
+
B
C
+
C
D
+
D
A
=
0
D
A
B
⃗
≠
D
C
⃗
\vec{AB} \ne \vec{DC}
A
B
=
D
C
and
A
D
⃗
≠
B
C
⃗
\vec{AD} \ne \vec{BC}
A
D
=
B
C
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