Question

ABCDEF is a regular hexagon, as shown in the
figure. The length of each side of the hexagon is 1 m.
The magnitude of (OA+OB + OC + OD + OE) is
FC
1 m
(3) 3 m
(2) 2 m
(4) 4 m​

Answer 1

The magnitude of (OA+OB+OC+OD+OE) is 1 m.

(1) is correct option.

Explanation:

Given that,

ABCDEF is a regular hexagon.

The length of each side of the hexagon is 1 m.

All angle is 60° in hexagon.

$\vec{OA}=\vec{OD}$ is anti parallel

So,$\vec{OA}=-\vec{OD}$

$\vec{OB}=-\vec{OE}$

$\vec{OF}=-\vec{OC}$

We need to calculate the magnitude of (OA+OB+OC+OD+OE)

Using formula of resultant

$R=OA+OB+OC+OD+OE$

$R=(OA+OD)+(OB+OE)+OC$

$R=0+0+1$

$R=1\ m$

Hence, The magnitude of (OA+OB+OC+OD+OE) is 1 m.

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Topic : Hexagon

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