Misc 4 - If a = b + c, then is it true that |a| = |b| + |c| - Addition(resultant) of vectors

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  1. Chapter 10 Class 12 Vector Algebra
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Misc 4 If = + , then is it true that | |=| | + | | Justify your answer. Given, = + Let = 1 + 2 + 3 & = 2 1 2 = ( + ) = (1 + 2) + (2 1) + (3 2) = 3 + 1 + 1 So, = 3 + 1 + 1 Magnitude of = 32+ 1 2 + 1 2 = 9+1+1 = 11 Magnitude of = 12+22+32 = 1+4+9 = 14 Magnitude of = 22+( 1)2+( 2)2 = 4+1+4 = 9 = 3 Now, + = 14 + 3 11 So, + Hence, false.

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