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Vector Algebra question

2023 · 11 Apr · Shift 1 · Q32

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JEE Main
Mathematics
Vector Algebra
2023 · 11 Apr · Shift 1 · Q32

Vector Algebra question

2023 · 11 Apr · Shift 1 · Q32

JEE MainMathematicsVector AlgebraMCQ+4 / −1

For any vector

\vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}

, with

10\left|a_{i}\right|(A):

\max \left\{\left|a_{1}\right|,\left|a_{2}\right|,\left|a_{3}\right|\right\} \leq|\vec{a}|

(B) :

|\vec{a}| \leq 3 \max \left\{\left|a_{1}\right|,\left|a_{2}\right|,\left|a_{3}\right|\right\}$$

A
Only (B) is true
B
Only (A) is true
C
Neither (A) nor (B) is true
D
Both (A) and (B) are true

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