For any vector $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}$, with $10\left|a_i\right|

Question

For any vector $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}$, with $10\left|a_i\right|<1, i=1,2,3$, consider the following statements: (A) : $\max \left\{\left|a_1\right|,\left|a_2\right|,\left|a_3\right|\right\} \leq|\vec{a}|$ (B) : $|\vec{a}| \leq 3 \max \left\{\left|a_1\right|,\left|a_2\right|,\left|a_3\right|\right\}$ [JEE Main 2023, 11 Apr (Shift 1)]

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For any vector \(\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}\), with \(10\left|a_i\right|<1, i=1,2,3\), consider the …

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For any vector \(\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}\), with \(10\left|a_i\right|&lt;1, i=1,2,3\), consider the …

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For any vector \(\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}\), with \(10\left|a_i\right|<1, i=1,2,3\), consider the …