Question

If summation of two unit vectors has magnitude , then angle between the unit vectors is

Answer 1

Answer:

As question said.... Sum of 2 unit vector is a unit vector..

Lets call these 2 unit vectors as A and B vector.

This means,

magnitude of A=1

magnitude of B=1

magnitude of A+B=1

Now as you may recall the formula we studied...

magnitude of (A+B)= sqrt(A2+B2+2ABcos(x))

Here x represents the angle between 2 vectors (A and B)

Now plugging the values as

A=1

B=1

And A+B=1

We can get cos (x) =-0.5

And this means x=120 degrees

Once part of the question over...

For the second part...

Subtracting 2 vectors say A and B in this case is same as adding A and - B

A-B=A + (-B)

This means as we reverse the side of B.... B becomes -B

Now add - B to A

Here actually the x will change from 120 to 60 degrees...

As explained in the figure.

​

So

A+(-B) =sqrt(A2+B2+2ABcos(60))

=sqrt(3)

PLEASE CHOOSE AS BRAINLIEST

Answer 2

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Explanation:

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