Question

The sum of two unit vectors is also a vector of unit magnitude, then the magnitude of the
difference of the two unit vectors

Answer 1

Answer:

Explanation:

Solution,

Let us assume a and b be the two vectors,

Resultant of sum, R = √a² + b² + 2ab cosΘ

We know that,

a = b = 1

It's a unit vector.

= 1 + 1 +  cosΘ

cosΘ = - 1/2

Here we will get,

Difference of resultant = Magnitude (a - b)

R = √a² + b² + 2ab cosΘ

We have,

a = b = 1 and,

cosΘ = - 1/2

R = √1 + 1 + 1

R = √3

Hence,  the magnitude of the difference of the two-unit vectors are √3.