Home
Class 12
PHYSICS
The resultant of two vectors of same mag...

The resultant of two vectors of same magnitude is equal to the magnitude of one of the vectors, then the angle between them is

A

`30^(@)`

B

`60^(@)`

C

`90^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that,
`R = sqrt(A ^(2) + B ^(2) + 2 AB cos theta)`
`A = sqrt ((A ^(2 ) + A ^(2) + 2 A ^(2) cos theta))`
`= sqrt (2 A ^(2) (1 + cos theta))`
`therefore A ^(2) = 2 A ^(2) (1 + cos theta)`
`implies cos theta =- (1)/(2)`
`implies theta = cos ^(-1) (- (1)/(2)) implies theta = 120^(@).`
Promotional Banner

Similar Questions

Explore conceptually related problems

If resultant of two vectors of equal magnitude is equal to the magnitude of either vector, then what is the angle between these vectors?

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is :

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is

Prove that the resultant of two vector of equal magnitude is equal to either vector if the angle between the two vector is 120^(@)

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector is

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is -