If A→ $$=$$ $$2i^+4j^$$−$$5k^$$ then the direction cosines of the vector A→ are

Correct option is 125, 445 and -545

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If $\vec{A} = 2 \hat{i} + 4 \hat{j} - 5 \hat{k}$ then the direction cosines of the vector $\vec{A}$ are

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25, 445 and -545

145, 245 and 345

445, 0 and 445

345, 245 and 545

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detailed solution

Correct option is A

A→ = 2i^+4j^−5k^ ∴|A|→ = (2)2+(4)2+(−5)2 = 45∴ cosα = 245, cosβ = 445, cosγ = -545

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If A→ = 2i^+4j^−5k^ then the direction cosines of the vector A→ are

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If $\vec{A} = 2 \hat{i} + 4 \hat{j} - 5 \hat{k}$ then the direction cosines of the vector $\vec{A}$ are