Question

if five vector can be represented by sides of sides of pantagon both in magnitudes and order then calculate the sum of the vectors​

Answer 1

The resultant sum of the vectors will be zero.

Reason:

• As per the question , all the 5 vectors can be arranged on the sides of a Pentagon in order and magnitude.

• Hence the vectors in order is creating a closed figure.

• A general thumb rule is that: Any number of vector creating a closed polygon in order will have zero resultant.

• This consideration is based on the Triangle Law , which states that 3 Vectors creating a closed triangle will have zero resultant.

$\therefore \: \vec{r} = \vec{a_{1}} + \vec{a_{2}} + \vec{a_{3}} + \vec{a_{4}} + \vec{a_{5}}$

$= > \vec{r} = 0$

So, final answer is:

$\boxed{ \sf{ \huge{\vec{r} = 0}}}$

Answer 2

Answer:

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