1.
For any vector a⃗=a1i^+a2j^+a3k^\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}, with 10∣ai∣<110|a_i| < 1, i=1,2,3i = 1, 2, 3, consider the following statements:
(A): max⁡{∣a1∣,∣a2∣,∣a3∣}≤∣a⃗∣\max\{|a_1|, |a_2|, |a_3|\} \leq |\vec{a}|
(B): ∣a⃗∣≤3max⁡{∣a1∣,∣a2∣,∣a3∣}|\vec{a}| \leq 3\max\{|a_1|, |a_2|, |a_3|\}
Vector Algebra - Medium - Question