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Implicit Differentiation

If a,v,c ar...

Question

If $¯ ¯ ¯ a, ¯ ¯ ¯ v, ¯ ¯ c$ are three mutually perpendicular vectors such that $∣ ∣ ¯ ¯ ¯ a ∣ ∣ = ∣ ∣ ¯ ¯ b ∣ ∣ = ∣ ∣ ¯ ¯ c ∣ ∣$ then $(¯ ¯ ¯ a + ¯ ¯ b + ¯ ¯ c, ¯ ¯ ¯ a) =$

\frac{π}{3}

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{cos}^{- 1} (\frac{1}{3})

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{cos}^{- 1} (\frac{1}{\sqrt{3}})

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{cos}^{- 1} (\frac{2}{3})

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Solution

The correct option is A $\frac{π}{3}$
$\to a, \to v, \to c$ are three mutually perpendicular
Such that $∣ ∣ \to a ∣ ∣ = ∣ ∣ ∣ \to b ∣ ∣ ∣ = ∣ ∣ \to c ∣ ∣$
$(\to a + \to b + \to c, \to a) = \frac{π}{3}$
Hence,
option $A$ is correct

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