Question

Two vectors and their resultant all have the same magnitude . Find the angle between the two vector

Answer 1

Answer:

120 DEGREE = 2π/3

Explanation:

RESULTANT SAY R² = A²+ B²+ 2AB COSФ

WHERE A and B are two vectors and Фbe the angle between them.

according to question R=A=B

so A²= A²+A²+ 2A²COS∅

⇒2A²COSФ = -A²

⇒COSФ = -A²/2A²

⇒COSФ = -1/2

⇒Ф = INVERSE COS(-1/2) = 120 DEGREE = 2π/3