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Vectors

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What is the magnitude of the vector (\vec{A} = 3\hat{i} + 4\hat{j})?

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A
5
💡 Explanation:

The magnitude of a vector is given by the formula (|\vec{A}| = \sqrt{A_x^2 + A_y^2}). Substituting the values of (A_x) and (A_y), we get (|\vec{A}| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5).

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