Find the Vector vrightarrow given that its magnitude is 10 a

Find the Vector v^rightarrow given that its magnitude is 10 and it makes an angle theta=pi/6 with the positive x-axis. v^rightarrow=-5Squareroot3i^rightarrow-5j^rightarrow v^rightarrow=-5Squareroot3i^rightarrow-5j^rightarrow v^rightarrow=-5i^rightarrow-5Squareroot3j^rightarrow v^rightarrow=-5Squareroot3i^rightarrow +5j^rightarrow

Solution

Magnitude=10

Theta=pi/6

x component= 10 cos(pi/6)=5 sqrt3

y component= 10sin(pi/6)=5

Vector v= 5sqrt3 i + 5j

Correct option is b