Two vectors of magnitudes 10 units and 15 units are acting at a point. The magnitude of their resultant is 20 units. Find the angle between them.

Answer 1

The parallelogram of forces yields a triangle with vectors 10,15 and 20.
where 20 is the resultant.
The angle between the two vector is the supplement of the angle (between vectors 10 and 15) solved by the cosine rule.
Draw the parallelogram of forces to understand why it is the supplement.
So
cos((φ)=sqrt(10²+15²-20²)/(2*10*15))
and the angle between vectors 10 and 15 is 180°-φ.

Answer 2

Two vectors of magnitudes 10 units and 15 units are acting at a point. The magnitude of their resultant is 20 units. Find the angle between them.

Answer 3

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