If a and b are unit vectors and a +b =1 , then a -b is equal to

Step-by-step solution

We have |a|=|b|=1,|a+b|=1 We know that, aligned & &| a + b |²+| a - b |² &=2 (| a |²+| b |² ) (1)²+| a - b |² &=2 ((1)²+(1)² ) 1+| a - b |² &=4 & &| a - b | &= 3 aligned