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Work Energy Theorem Application

If m1,m2,m3...

Question

If $m_{1}, m_{2}, m_{3}, m_{4},$ are respectively the magnitude of the vectors $a_{1} = ¯ ¯¯¯ ¯ 2 i - ¯ j + ¯ ¯ ¯ k, a_{2} = ¯ ¯¯¯ ¯ 3 i - ¯ ¯¯¯ ¯ 4 j - ¯ ¯¯¯¯ ¯ 4 k, a_{3} = ¯ ¯¯¯¯ ¯ - i + ¯ j - ¯ ¯ ¯ k, a_{4} = ¯ ¯¯¯¯ ¯ - i + ¯ ¯¯¯ ¯ 3 j + ¯ ¯ ¯ k$ , choose the lowest magnitude

m_{1}

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m_{2}

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m_{3}

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m_{4}

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Solution

The correct option is C $m_{3}$
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Similar questions

m_{1}, m_{2}, m_{3}, m_{4}

_{1} = ¯ ¯¯¯ ¯ 2 i - ¯ j + ¯ ¯ ¯ k,_{2} = ¯ ¯¯¯ ¯ 3 i - ¯ ¯¯¯ ¯ 4 j - ¯ ¯¯¯¯ ¯ 4 k,_{3} = - ¯ i + ¯ j - ¯ ¯ ¯ k,_{4} = - ¯ i + 3 ¯ j + ¯ ¯ ¯ k

m_{1}, m_{2}, m_{3}, m_{4}

m_{1}, m_{2}, m_{3}

m_{4}

a_{1} = 2 i - j + k, a_{2} = 3 i - 4 j - 4 k,

a_{3} = i + j - k

a_{4} = - i + 3 j + k,

m_{1}, m_{2}, m_{3}

m_{4}

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k} and 3 \hat{i} - 4 \hat{j} - 4 \hat{k}

\hat{i} + \hat{j} + \hat{k}, 2 \hat{i} + 3 \hat{j} - \hat{k} and - \hat{i} - 2 \hat{j} + 2 \hat{k}

m_{1}, m_{2}, m_{3}, m_{4}

_{1} =^2 i -^j +^k

_{2} =^3 i -^4 j -^4 k

_{3} = -^i +^j -^k

_{4} = -^i +^3 j +^k

M 1, M 2, M 3

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