Which of the following relations is correct f | vedclass

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(C) The correct option is $C$.According to the triangle inequality for vectors,for any two vectors $a$ and $b$,the magnitude of their difference satis

Vedclass · Accepted Answer

$| a - b | \geq | a | - | b |$

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(C) The correct option is $C$.According to the triangle inequality for vectors,for any two vectors $a$ and $b$,the magnitude of their difference satisfies the inequality $| a - b | \geq | | a | - | b | |$.Since $| | a | - | b | | \geq | a | - | b |$ is always true for any real numbers $| a |$ and $| b |$,it follows that $| a - b | \geq | a | - | b |$.This represents the lower bound of the magnitude of the resultant vector when subtracting two vectors.

Which of the following relations is correct for vectors $a$ and $b$?

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