Mathematics · 2023
JEE Main · 11 April 2023, Shift 1 · Q12
For any vector a =a_1 i +a_2 j +a_3 k, with 10|a_i|<1, i=1,2,3, consider the following statements: (A): max {|a_1|,|a_2|,|a_3|} ≤| a | (B):| a | ≤ 3…
For any vector $\displaystyle \vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}$, with $\displaystyle 10\left|a_i\right|<1, i=1,2,3$, consider the following statements :
(A)
: $\displaystyle \max \left\{\left|a_1\right|,\left|a_2\right|,\left|a_3\right|\right\} \leq|\vec{a}|$
(B)
$\displaystyle :|\vec{a}| \leq 3 \max \left\{\left|a_1\right|,\left|a_2\right|,\left|a_3\right|\right\}$
Official answer
From NTA’s final answer key for this paper.
(3)
Both (A) and (B) are true
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.