Question

if the sum of two unit vectors is also an unit vector then magnitude of their differences and angle between the two given unit vector is

Answer 1

Your answer is ----

let the two unit vector is A and B

°•° sum of these unit vector is also an unit vector

•°•

|A+B| = 1

=> √A^2 + B^2 + 2ABcos∅ = 1

=> 2 + 2cos∅ = 1

=> cos∅ = 1/2 - 1

=> cos∅ = -1/2

=> ∅ = 120°

magnitude of their difference is

√A^2+B^2-2ABcos120°

= √2+1

= √3

Answer 2

HEY MATE HERE IS YOUR ANSWER

$\rule {168}{2}$

Solution :-

let the unit vector b x and y

some of these vectors is also a unit vector

I X + Y l = 1

$\huge = > {x}^{2} + {y}^{2} + 2xy \: \cos \: o = 1$

$\huge = > 2 + 2 \cos \: o = 1$

$\huge = > \cos \: o = \frac{1}{2} - 1$

$\huge = > cos \: o = \frac{ - 1}{2}$

$\huge = > o = 120$

Magnitude pf their difference

$\huge = > {x}^{2} + {y}^{2} - 2xy \: cos \: o \: 120$

$\huge = > \sqrt{2} + 1$

$\huge = > \sqrt{3}$

$\rule {135} {2}$

Hope it will help you

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