Question

The resultant of two vectors u and v vector is perpendicular to the vector u and its magnitude is equal yo half if the magnitude of the vector v, the angle between u and v vector in degree is

Answer 1

Answer:

150 degree

Explanation:

because a vector can displace any where parallel to itself and vector are join head to head and tail to tail then form angle between two vectors

Answer 2

Answer:

tan α = Bsin∅ / A+Bcos∅

tan 90 = ∞

A + Bcos∅=0

u+vcos∅=0

vcos∅= -u   -------------  1

cos∅= -u/v -------------- 2

R² = A² + B² + 2AB cos∅

(v/2)² = u² + v² + 2uvcos∅

v²/4 = u² + v² + 2u (-u)     -----------from 1

v²/4 - v² = u² -2u²

-3/4 v² = -u²

u²/v² = 3/4

cos∅ = -u/v       --------------- from 2  

cos²∅ = u²/v²   (squaring on both sides)

cos²∅ =3/4

cos ∅ =  ±√3 / 2

∅ = 150° or 30°