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Vector Component

If A = 3î + 4...

Question

If $\to A = 3^i + 4^j a n d \to B = 6^i + 6 \sqrt{3}^j$ , find the angle between $\to A a n d \to B (c o s 37^{o} = 4 / 5)$

A

23^{o}

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B

16^{o}

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C

7^{o}

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D

none

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Solution

The correct option is C $7^{o}$

$t a n θ_{A} = \frac{4}{3} \Rightarrow θ_{A} = 53^{\circ}$

$t a n θ_{B} = \frac{6 \sqrt{3}}{6} \Rightarrow θ_{B} = 60^{\circ}$
$θ_{B A} = 7^{\circ}$

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Similar questions

\to A = 3^i + 4^j a n d \to B = 6^i + 6 \sqrt{3}^j

, find the angle between

\to A a n d \to B (c o s 37^{o} = 4 / 5)

\to A = 3^i + 4^j a n d \to B = 6^i + 6 \sqrt{3}^j

, find the angle between

\to A a n d \to B (c o s 37^{o} = 4 / 5)

\to A = 3^i + 4^j

\to B = \sqrt{3}^i -^j

and angle between

\to A

\to B

30^{\circ}

| \to A \times \to B |

\to A = 3^i + 4^j

\to B = \sqrt{3}^i -^j

and angle between

\to A

\to B

30^{\circ}

| \to A \times \to B |

\to a = 3^i - 5^j, \to b = 6^i + 3^j

\to c = \to a \times \to b

∣ ∣ \to a ∣ ∣ : ∣ ∣ ∣ \to b ∣ ∣ ∣ : ∣ ∣ \to c ∣ ∣

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