For any vector \( \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \), with \( 10|a_i|<1, \ i=1,2,3 \), consider the following statements:(A) : \( \max\{|a_1|,|a_2|,|a_3|\}\le |\vec{a}| \)(B) : \( |\vec{a}|\le 3\max\{|a_1|,|a_2|,|a_3|\} \)
Only (B) is true
Only (A) is true
Both (A) and (B) are true
Neither (A) nor (B) is true
