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Topic
For quadrilateral ABCD is a parallelogram. Which of the following statements is correct?
A. \(\overrightarrow {BA} + \overrightarrow {DA} = \overrightarrow {CA} \)
B. \(\overrightarrow {AB} + \overrightarrow {BC} = \overrightarrow {AD} \)
C. \(\overrightarrow {AB} + \overrightarrow {AD} = \overrightarrow {CA} \)
D. \(\overrightarrow {AB} + \overrightarrow {BC} = – \overrightarrow {AC} \)
Solution method – See details
Use the parallelogram rule to find the correct sentence
Detailed explanation
Consider answer A: \(\overrightarrow {BA} + \overrightarrow {DA} = – \overrightarrow {AB} – \overrightarrow {AD} = – (\overrightarrow {AB} + \overrightarrow {AD} ) = – \overrightarrow {AC} = \overrightarrow {CA} \)
Choose A
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