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

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Correct option is A

Let the components of A→ makes angles α,β and γ with x, y and z axis respectively then α=β=γcos2⁡α+cos2⁡β+cos2⁡γ=1⇒ 3cos2⁡α=1⇒cos⁡α=13∴ Ax=Ay=Az=Acos⁡α=A3

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

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