Given that . Out of three vectors, two are equal in magnitude and the magnitude of the third vector is times that of either of the two having equal magnitude. Then. The angles between the vectors are given by:

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answer is D.

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Detailed Solution

Concept- The basic concepts of the polygon law of vector addition can be used to solve the aforementioned issue. The law's concepts and essential principles are utilised to identify the polygon and to analyse the proper values of the vector angles.
The vectors' total equals A+B+C=0.
The polygon rule states that only when a polygon is created as a closed polygon or a triangle, the sum of the three vectors equals zero. The two vectors have the same magnitude under the provided conditions, while the third vector has a magnitude that is

times greater than either of the two identical vectors. The resulting triangle is thus referred to as a right-angled triangle.
Question Image

Then, the values of angles are given as,
Angle between the

and

is,

.
Angle between the

and

is,

.
Angle between the

and

is,

.
Therefore, the angles between the vectors are

.
Hence, option 4 is correct.