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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Mathematics in Physics

NEET 2010 · Physics · Mathematics in Physics

Six vectors a through f have the magnitudes and directions...

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

Options

  1. Ab⃗+c⃗=f⃗\vec{b}+\vec{c}=\vec{f}
  2. Bd⃗+c⃗=f⃗\vec{d}+\vec{c}=\vec{f}
  3. Cd⃗+e⃗=f⃗\vec{d}+\vec{e}=\vec{f}
  4. Db⃗+e⃗=f⃗\vec{b}+\vec{e}=\vec{f}

Correct answer

C. d⃗+e⃗=f⃗\vec{d}+\vec{e}=\vec{f}

Step-by-step 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 d→+e→=f→\overrightarrow{\mathrm{d}}+\overrightarrow{\mathrm{e}}=\overrightarrow{\mathrm{f}}
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