These lessons, with videos, examples, solutions and worksheets, help PreCalculus students learn to obtain the resultant of two forces using vectors.

**Related Pages**

Physics: Force

Resultant Forces

Vector Addition

**The Resultant of Two Forces**

When vectors represent forces, their sum is called the resultant. The resultant of two forces
can be found using the methods for adding vectors when the vectors are a geometric representation.
When using methods for the algebraic representation to find the resultant of two forces, it
can be helpful to understand the components of a force.

The following diagram shows the resultant of two forces. Scroll down the page for more examples and solutions on how to obtain the resultant of two forces using vectors.

**Resultant of two forces at right angles**

How to calculate the resultant force from two forces acting at right angles to each other?

**Example:**

Two forces 300 N at 0 degrees and 400 N at 90 degrees pull on an object.

Answer the following (Use the tail-tip method):

a.Draw a diagram showing the forces acting on the object.

b.Draw a sketch showing the vector sum of two forces.

c.Find the magnitude of the resultant force.

d.Find the direction of the resultant force.

**Resultant of two forces not at right angles**

How to calculate the resultant from two forces that are not at right angles to each other,
using the cosine and sine rules of triangles.

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