First slide

Vectors

Question

Which of the following is correct?

Easy

A

$| a - b | = | a | - | b |$
B

$| a - b | \leq | a | - | b |$
C

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

$| a - b | > | a | - | b |$

Solution

(a $-$ b) is nothing but addition of a and $-$ b.
$| a | = | a - b + b | \leq | a - b | + | b |$
or $| a | - | b | \leq | a - b |$
Hence, option (3) is correct.

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