How many minimum number of non-zero vectors in different planes can be added to give zero resultant

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3-1.Vectors

easy

How many minimum number of non-zero vectors in different planes can be added to give zero resultant

$2$

$3$

$4$

$5$

Solution

(c) The required number of vectors is $4.$ suppose $A, B, C, D$ are four vectors and no three of them are coplaner. if the resultant of $\mathrm{A}$ and $\mathrm{B}$ be $\mathrm{X},$ and resultant of $\mathrm{C}$ and $\mathrm{D}$ be $\mathrm{Y}$. if $\mathrm{X},$ and $\mathrm{Y}$ be equal in magnitude but in opposing directions, that's the only way the resultant of $A, B, C, D$ be zero, without any three of them being in the same plane.

Standard 11

Physics

Two forces $F_1 = 3N$ at $0^o$ and $F_2 = 5N$ at $60^o$ act on a body. Then a single force that would balance the two forces must have a magnitude of ………. $N$

medium

Magnitudes of two vector $\overrightarrow A $ and $\overrightarrow B $ are $4$ units and $3$ units respectively. If these vectors are $(i)$ in same direction $(\theta = 0^o).$ $(ii)$ in opposite direction $(\theta = 180^o)$, then give the magnitude of resultant vector.

easy

Two vectors having equal magnitudes $A$ make an angle $\theta$ with each other. The magnitude and direction of the resultant are respectively

medium

$\overrightarrow A \, = \,3\widehat i\, + \,2\widehat j$ , $\overrightarrow B \, = \widehat {\,i} + \widehat j – 2\widehat k$ then find their addition by algebric method.

easy

Find the resultant of three vectors $\overrightarrow {OA} ,\,\overrightarrow {OB} $ and $\overrightarrow {OC} $ shown in the following figure. Radius of the circle is $R$.

hard

How many minimum number of non-zero vectors in different planes can be added to give zero resultant

Solution

Similar Questions

Two forces $F_1 = 3N$ at $0^o$ and $F_2 = 5N$ at $60^o$ act on a body. Then a single force that would balance the two forces must have a magnitude of ………. $N$

Magnitudes of two vector $\overrightarrow A $ and $\overrightarrow B $ are $4$ units and $3$ units respectively. If these vectors are $(i)$ in same direction $(\theta = 0^o).$ $(ii)$ in opposite direction $(\theta = 180^o)$, then give the magnitude of resultant vector.

Two vectors having equal magnitudes $A$ make an angle $\theta$ with each other. The magnitude and direction of the resultant are respectively

$\overrightarrow A \, = \,3\widehat i\, + \,2\widehat j$ , $\overrightarrow B \, = \widehat {\,i} + \widehat j – 2\widehat k$ then find their addition by algebric method.

Find the resultant of three vectors $\overrightarrow {OA} ,\,\overrightarrow {OB} $ and $\overrightarrow {OC} $ shown in the following figure. Radius of the circle is $R$.

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