Question

two vectors p and q have magnitude 3 and 4 units respectively.R is the resultant of p and q the angle between them is 30 degree find magnitufe and direction of R​

Answer 1

Answer:

→ R = √(p^2+q^2+2pq Cos 30° )

→ R = √ ( 9 + 16 + 24 Cos 30° )

→ R = √ ( 25 + 12√3 )

→ R = 6.76

Suppose, the angle between p and R is y

So, → y = tan^-1 ( q sinx / q cosx + p)

→ y = tan^-1 ( 4 sin 30° / (4 cos 30° + 3) )

→ y = 17.19°

Therefore the The magnitude of R = 6.76 Unit and direction of it is 17.19° away from the vector p ( towards q vector )