Question

if sum of two unit vectors is a vector then its magnitude difference is​

Answer 1

then its magnitude difference will be

2v

Answer 2

Answer:

Explanation:

magnitude of unit vector is 1 so,

Let the two unit vectors be a→ and b→

Given |a→+b→|=1        (as both are unit vector)

⇒|a→+b→|2=1

⇒|a→|2+|b→|2+2a→.b→=1

⇒2a→.b→=−1

|a→−b→|2=|a→|2+|b→|2−2a→.b→

=2+1=3

∴|a−b|=root 3