ABCDEF is a regular hexagon and forces represented in magnitude and direction by AB, AC,A

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3-1.Vectors

medium

$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :

$6\, AD$

$4\, AD$

$3\, AD$

$2\, AD$

Solution

$\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}$

$=(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AE}})+(\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AF}})+\overrightarrow{\mathrm{AD}}$

$=\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AD}}=3 \overrightarrow{\mathrm{AD}}$

Standard 11

Physics

The magnitude of pairs of displacement vectors are given. Which pair of displacement vectors cannot be added to give a resultant vector of magnitude $13\, cm$?

easy

When the resolution of vector is required ?

medium

The angle made by the vector $A = \hat i + \hat j$ with $x-$ axis is ……. $^o$

medium

Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-

medium

Vector$\overrightarrow A $ makes equal angles with $x, y$ and $z$ axis. Value of its components (in terms of magnitude of $\overrightarrow A $) will be

hard

$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :

Solution

Similar Questions

The magnitude of pairs of displacement vectors are given. Which pair of displacement vectors cannot be added to give a resultant vector of magnitude $13\, cm$?

When the resolution of vector is required ?

The angle made by the vector $A = \hat i + \hat j$ with $x-$ axis is ……. $^o$

Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-

Vector$\overrightarrow A $ makes equal angles with $x, y$ and $z$ axis. Value of its components (in terms of magnitude of $\overrightarrow A $) will be

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