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Question: Answered & Verified by Expert
$\mathrm{ABCD}$ is a parallelogram. If $\overrightarrow{\mathrm{AB}}=\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{b}}$, then what is
$\overrightarrow{\mathrm{BD}}$ equal to ?
MathematicsVector AlgebraNDANDA 2012 (Phase 2)
Options:
  • A $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$
  • B $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$
  • C $\quad-\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$
  • D $\quad-\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$
Solution:
1500 Upvotes Verified Answer
The correct answer is: $\quad-\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$


$\overrightarrow{\mathrm{BD}}=-\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$

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