Question

Six vectors, a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true?

• A. $b+e=f$
• B. $b+c=f$
• C. $d+c=f$
• D. $d+e=f$

Answer 1

Answer: (D)

$d+e=f$

Consider the problem

The $f$ vector has the resultant of any two other vector.

By parallelogram law of vector addition.

Let $f$ be the resultant between $d$ and $e$

Therefore,

$d+e=f$