Find the length of the vector ( vec{v} = 3hat{i} - 4hat{j} + 2hat{k} )

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Step:1 ：The formula to find the length or magnitude of a vector ( vec{v} = ahat{i} + bhat{j} + chat{k} ) is given by ( |v| = sqrt{a^2 + b^2 + c^2} )Step:2 ：Substitute the given values into the formula: ( |v| = sqrt{3^2 + (-4)^2 + 2^2} )Step:3 ：Calculate the square of each component: ( |v| = sqrt{9 + 16 + 4} )Step:4 ：Add the squared components: ( |v| = sqrt{29} )

Answer

Step: 1 ：The formula to find the length or magnitude of a vector ( vec{v} = ahat{i} + bhat{j} + chat{k} ) is given by ( |v| = sqrt{a^2 + b^2 + c^2} )Step: 2 ：Substitute the given values into the formula: ( |v| = sqrt{3^2 + (-4)^2 + 2^2} )Step: 3 ：Calculate the square of each component: ( |v| = sqrt{9 + 16 + 4} )Step: 4 ：Add the squared components: ( |v| = sqrt{29} )

Find the length of the vector \( \vec{v} = 3\hat{i} - 4\hat{j} + 2\hat{k} \)

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