If the angle between two vectors of equal magnitude P is θ, the magni

1.	If the angle between two vectors of equal magnitude P is θ, the magnitude of the resultant vector is
Answer» Vectors P and Q have equal magnitude P and angle between them is Ф. Magnitude of vector P - Q = SqRoot[ P² + P² - 2 P P Cos Ф ] = √2 P SqRoot[ 1 - Cos Ф ] = √2 P SqRoot[ 2 Sin² Ф/2 ] = 2 P SinФ/2

If the angle between two vectors of equal magnitude P is θ, the magnitude of the resultant vector is

Answer»

Vectors P and Q have equal magnitude P and angle between them is Ф.

Magnitude of vector P - Q = SqRoot[ P² + P² - 2 P P Cos Ф ] = √2 P SqRoot[ 1 - Cos Ф ] = √2 P SqRoot[ 2 Sin² Ф/2 ] = 2 P SinФ/2