Question

if the sum of two unit vectors is a unit vector ,show that the magnitude of their difference is √3

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Answer 1

Step-by-step explanation:

Let a+b is two unit vectors such that

a+b is also a unit vector. Then |a| =1,|b|=

1 , a+b =1

We know that

a+b2 + a-b 2 = 2(a2 +b2)

1+a-b=2(1+1)

Hence, a-b2=3>a-b=√3

Hope it helps you.