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MCQEasyJEE Main 2023 · 11 April, Shift 1Basics of Vectors

Mathematics Question from JEE Main 2023 · 11 April, Shift 1

For any vector a=a1i^+a2j^+a3k^\mathbf{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)(A) max⁡{∣a1∣,∣a2∣,∣a3∣}≤∣a∣\max \{ |a_1|, |a_2|, |a_3| \} \leq |\mathbf{a}|

(B)(B) ∣a∣≤3max⁡{∣a1∣,∣a2∣,∣a3∣}|\mathbf{a}| \leq 3 \max \{ |a_1|, |a_2|, |a_3| \}

  • A

    Only statement (A) is true

  • B

    Only statement (B) is true

  • C

    Both (A) and (B) are true

  • D

    Neither (A) nor (B) is true

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