For any 2 vectors a and b , |a| + |b| is always greater than or equal to |a+b| .

Can someone pls explain the statement above

Printable View

- October 2nd 2008, 09:37 AMmathaddictvector
For any 2 vectors a and b , |a| + |b| is always greater than or equal to |a+b| .

Can someone pls explain the statement above - October 2nd 2008, 11:39 AMkbartlett
|a| means the modulus of the vector a, or basically if it is postive it stays the same, and if it is negative u multiply it by -1.

If then:

|a|+|b| = |a+b|

if then:

|a|+|b| = |a+b|

However if and or and then:

|a|+|b| > |a+b|

So thats why For any 2 vectors a and b , |a| + |b| is always greater than or equal to |a+b| . - October 2nd 2008, 01:23 PMThePerfectHacker