Vectors

Let the two vectors be and . We are given that their sum is a unit vector, i.e., where is a unit vector. We need to find the magnitude of their difference, . ### Step 1: Use the identity for the square of the sum and difference of vectors We know the following vector identities: and ### Step 2: Apply the given information Since , we know that: So, we have: Now, we calculate the magnitude of : By substituting values into the equation, we get: Thus, the magnitude of the difference of the two vectors is: Hence, the correct answer is .