Q98 / 200 · NEET 2010 (Screening) · Physics

Six vectors $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true? Figure

  • A
    $\vec{b}+\vec{c}=\vec{f}$
  • B
    $\vec{d}+\vec{c}=\vec{f}$
  • Correct answer
    C
    $\vec{d}+\vec{e}=\vec{f}$
  • D
    $\vec{b}+\vec{e}=\vec{f}$

Solution

If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors $$ \therefore \quad \overrightarrow{\mathrm{d}}+\overrightarrow{\mathrm{e}}=\overrightarrow{\mathrm{f}} $$

Hence, the correct answer is option: 'C'.

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