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Standard XII

Physics

Acceleration in 2D

A vector havi...

Question

A vector having magnitude $30$ unit makes equal angles with each of $x, y$ and $z$ axes. The component along each of $x, y$ and $z$ -axis are

10 \sqrt{3}

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20 \sqrt{3}

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30 \sqrt{3}

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18 \sqrt{3}

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Solution

The correct option is A $10 \sqrt{3}$
Vector makes equal angle with each of $x$ , $y$ and $z$ so components are also equal.
Let vector is $\to A = a^i + a^j + a^k$ ,
$| \to A | = \sqrt{a^{2} + a^{2} + a^{2}} = \sqrt{3} a = 30$ $\Rightarrow a = 10 \sqrt{3}$

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A vector having magnitude 30 unit makes equal angles with each of x,y and z axes. The component along each of x,y and z-axis are

The correct option is A 10√3Vector makes equal angle with each of x, y and z so components are also equal.Let vector is →A=a^i+a^j+a^k, |→A|=√a2+a2+a2=√3a=30 ⇒a=10√3

A vector having magnitude $30$ unit makes equal angles with each of $x, y$ and $z$ axes. The component along each of $x, y$ and $z$ -axis are

The correct option is A $10 \sqrt{3}$
Vector makes equal angle with each of $x$ , $y$ and $z$ so components are also equal.
Let vector is $\to A = a^i + a^j + a^k$ ,
$| \to A | = \sqrt{a^{2} + a^{2} + a^{2}} = \sqrt{3} a = 30$ $\Rightarrow a = 10 \sqrt{3}$