Question

The resultant of vector A and vector B makes an angle a with vector A and β with vector B, (a) α < β

Answer 1

Always the resultant bends towards that vector which is higher in magnitude. If the magnitude of the vectors are the same, the resultant will make equal angles with both. But, If suppose A vector has a high magnitude than B, then the resultant will bend more towards A and hence alpha will be less than beta.

Answer 2

The direction of resultant will be - A >  B   and α<β

Angle of resultant with Vector A = α  (Given)

Angle of vector B with Resultant = β  (Given)

Total angle between Vector A and Vector B = α + β

Now,

A =  R  cosα

B  =  R  cosβ

If α < β

Then, -

cosα >  cosβ

= R  cosα>   R  cosβ

Hence,

A  >   B

 hus, it can be said -

A  >  B   and α < β