$$e^r$$ is unit vector along radius of a circle shown in figure. $$e^r$$ can be represented as

Correct option is 1cosθi^ + sinθj^

Questions

${\hat{e}}_{r} is unit vector along radius of a circle shown in figure . {\hat{e}}_{r} can be represented as$

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cosθi^ + sinθj^

sinθi^ + cosθj^

cosθi^ − sinθj^

−cosθi^ + sinθj^

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detailed solution

Correct option is A

The component of e^r along X-axis ise^r cosθ= 1×cosθ = cosθThe component of e^r along Y-axis ise^r sinθ= 1×sinθ = sinθ∴e^r = cosθi^ + sinθj^

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e^r is unit vector along radius of a circle shown in figure. e^r can be represented as

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${\hat{e}}_{r} is unit vector along radius of a circle shown in figure . {\hat{e}}_{r} can be represented as$