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  • For any vector <img alt="\vec{a}=\mathrm{a}_1 \hat{\mathrm{i}}+\mathrm{a}_2 \hat{\mathrm{j}}+\mathrm{a}_3 \hat{\mathrm{k}} \text {, with } 10\left|\mathrm{a}_{\mathrm{i}}\right|<1, \mathrm{

For any vector \vec{a}=\mathrm{a}_1 \hat{\mathrm{i}}+\mathrm{a}_2 \hat{\mathrm{j}}+\mathrm{a}_3 \hat{\mathrm{k}} \text {, with } 10\left|\mathrm{a}_{\mathrm{i}}\right|<1, \mathrm{i}=1,2,3 consider the following statements :

\text { (A) : } \max \left\{\left|\mathrm{a}_1\right|,\left|\mathrm{a}_2\right|,\left|\mathrm{a}_3\right|\right\} \leq|\overrightarrow{\mathrm{a}}|

\text { (B) : }|\vec{a}| \leq 3 \max \left\{\left|\mathrm{a}_1\right|,\left|\mathrm{a}_2\right|,\left|\mathrm{a}_3\right|\right\}

Option: 1

Only (B) is true


Option: 2

Both (A) and (B) are true


Option: 3

Neither (A) nor (B) is true


Option: 4

Only (A) is true


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