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

Step-by-step solution

Given, | a + b |=1 | a + b |²=1² | a |²+| b |²+2| a || b |=1 2| a || b |=1-(1+1) 2| a || b |=-1 Now, | a - b |²=| a |²+| b |²-2| a || b |=1²+1²-(-1)=3 [from Eq. (i)] | a - b |= 3