If n is a unit vector in the direction of the vector A- then vector n- is equal to-

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Vectors and Its Types

If n is a uni...

Question

If n is a unit vector in the direction of the vector $\to A$ then vector $^n$ is equal to?

^n = \frac{\to A}{| \to A |}

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^n = \frac{| \to A |}{\to A}

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^n = | \to A | \to A

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^n

\to A

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Solution

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\to ℓ, \to m, \to n

\to a, \to b

[\to ℓ, \to m,^n] (\to a, \to b) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} \to ℓ . \to a & \to ℓ . \to b & \to ℓ \to m . \to a & \to m . \to b & \to m \to n . \to a & \to n . \to b & \to n \end{matrix} ∣ ∣ ∣ ∣ ∣

\to a = 2^m +^n, \to b =^m - 2^n

^m

^n

60^{o}

a, b

\to A

\to a

\to b

| \to a + \to b | = 1

| \to a - \to b |

| \to a + \to b | = | \to a - \to b |

(\to a, \to b) = \frac{π}{2}

\to a, \to b, \to a + \to b

(\to a, \to b) = \frac{2 π}{3}

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