When the magnitude of the resultant of two vectors of equal magnitude is equal to either of them what is the angle between the two vectors?

When the magnitude of the resultant of two vectors of equal magnitude is equal to either of them what is the angle between the two vectors?

Text Solution

Solution : Let the two vectors be P and Q <br> Given, P=Q <br> and `theta=120^(@)` <br> Magnitude of resultant vector is <br> `R=sqrt(P^(2)+Q^(2)+2pQ cos 120^(@))` <br> `=sqrt(P^(2)+P^(2)+2P^(2)xx(-1)/(2))=sqrt(P^(2))=P`

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is

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