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Find the Magnitude of the Vector → a = 2 ^ I + 3 ^ J − 6 ^ K . - Mathematics

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प्रश्न

Find the magnitude of the vector \[\vec{a} = 2 \hat{i} + 3 \hat{j} - 6 \hat{k} .\]

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उत्तर

Given: \[\vec{a} = 2 \hat{i} + 3 \hat{j} - 6 \hat{k} .\]
∴ Magnitude of the vector = \[\left| \vec{a} \right| = \sqrt{2^2 + 3^2 + \left( - 6 \right)^2} = \sqrt{4 + 9 + 36} = \sqrt{49} = 7\]

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Magnitude and Direction of a Vector
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 23: Algebra of Vectors - Exercise 23.6 [पृष्ठ ४८]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 23 Algebra of Vectors
Exercise 23.6 | Q 1 | पृष्ठ ४८

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