(D) Let the vector be $\vec{r}$ and its magnitude be $r$.Given that the component along the $Y$-axis is $r_y = 10$ units.The angle made with the $X$-a

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(D) Let the vector be $\vec{r}$ and its magnitude be $r$.Given that the component along the $Y$-axis is $r_y = 10$ units.The angle made with the $X$-axis is $\theta = 30^{\circ}$.The component along the $Y$-axis is given by $r_y = r \sin(\theta)$.Substituting the values: $10 = r \sin(30^{\circ})$.Since $\sin(30^{\circ}) = 0.5$,we have $10 = r \times 0.5$.Therefore,$r = \frac{10}{0.5} = 20$ units.

Class 11 Physics 3-1.Vectors Resolution of a Vector into Rectangular Components

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$A$ displacement vector has a $Y$-axis component of $10$ units. If it makes an angle of $30^{\circ}$ with the $X$-axis,find the magnitude of the vector.

A
$5$
B
$10$
C
$11.5$
D
$20$

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3-1.Vectors

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Resolution of a Vector into Rectangular Components

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$A$ displacement vector has a $Y$-axis component of $10$ units. If it makes an angle of $30^{\circ}$ with the $X$-axis,find the magnitude of the vector.

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$A$ displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in the $x-y$ plane are .........

For the given vector $\vec{A} = 3\hat{i} - 4\hat{j} + 10\hat{k}$,the ratio of the magnitude of its component on the $x-y$ plane to the component on the $z$-axis is:

The component of a vector $\vec{r}$ along the $x$-axis will have a maximum value if

$A$ force of $5 \ N$ acts on a particle along a direction making an angle of $60^{\circ}$ with the vertical. Its vertical component will be $......... \ N$.

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