Question

The magnitude of resultant of three vectors of magnitude $1,2$ and $3$ whose direction are those of the sides of an equilateral triangle taken in order is:

• A. $0$
• B. $2\sqrt{2}$ units
• C. $4\sqrt{3}$ units
• D. $\sqrt{3}$ units

Answer 1

Answer: (D)

$\sqrt{3}$ units

The $1$ magnitude vector in each cancels out to give only $1$ and $2$ magnitude vectors which are $120$ degrees apart, which gives a resultant of $\sqrt{3}$ units