First slide

Scalars and Vectors

Question

Find the resultant of three vectors $\vec{O A}, \vec{O B}$ and $\vec{O C}$ shown in the following figure. Radius of the circle is R.

Easy

A

2R
B

$R (1 + \sqrt{2})$
C

$R \sqrt{2}$
D

$R (\sqrt{2} - 1)$

Solution

$R_{net} = R + \sqrt{R^{2} + R^{2}} = R + \sqrt{2} R = R (\sqrt{2} + 1)$

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