Question

If resultant of two unit vectors is also a unit vector then what will be the magnitude of difference of those two vectors​

Answer 1

Answer:

let two vectors are a,b then

resultant of sum = (a2 + b2 + 2abcos@)1/2 = 1 (given)

a = b = 1 (unit vector)

1+1+2cos@ = 1

cos@ = -1/2 .................1

now resultant of difference = magnitude (a-b)

R = (a2 + b2 - 2abcos@)1/2

a = b = 1 , cos@ = -1/2 so

R = [ 1+1+1]1/2 = root3

plz mark brainliest if you find the answer useful

follow me

Answer 2

The difference of two unit vectors are also a unit vector, what will their sum be? If A and B have length 1 and their difference has length 1 as well, that means that the three vectors must form an equilateral triangle. So that means that A and B have a 60 degree angle between them.