Question

the resultant of vector a and vector B makes an angle Alpha with vector a and beta with vector B then

Answer 1

Angle of resultant with Vector A = α

Angle of vector B with Resultant = β

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

Now, Magnitude of the Resultant will be given by the relation,

|R| = √[A² + B² + 2ABCos(α + β)]

Now, For the Direction of Resultant,

tanα = BSinα/(A + BCosα)

tanβ = ASinβ/(B + ACosβ)

These are the possibilities of your answer. But Question is incomplete, so i can't be sure that what you exactly wanted to ask.

Hope it helps.

Answer 2

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.