Vectors

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction, such as force or velocity.

Front

What is the resultant vector?

Back

The resultant vector is the vector that results from the vector addition of two or more vectors.

Front

How do you calculate the magnitude of the resultant vector from two vectors at an angle?

Back

Use the formula: R = √(A² + B² + 2AB cos(θ)), where R is the resultant, A and B are the magnitudes of the vectors, and θ is the angle between them.

Front

What happens to the resultant vector when two vectors are in the same direction?

Back

The magnitude of the resultant vector is the sum of the magnitudes of the two vectors.

Front

What happens to the resultant vector when two vectors are in opposite directions?

Back

The magnitude of the resultant vector is the difference between the magnitudes of the two vectors.

Front

What is the effect of increasing the angle between two concurrent forces on the resultant force?

Back

As the angle increases from 0° to 90°, the magnitude of the resultant force decreases.

Front

What angle between two forces produces the maximum resultant force?

Back

The maximum resultant force occurs when the angle between the two forces is 0°.

Front

What is the graphical method of vector addition?

Back

The graphical method involves drawing vectors to scale and using the head-to-tail method to find the resultant vector.

Front

What is a component vector?

Back

A component vector is a vector that can be resolved into two perpendicular vectors, typically along the x and y axes.

Front

How do you resolve a vector into its components?

Back

To resolve a vector, use trigonometric functions: Ax = A cos(θ) and Ay = A sin(θ), where Ax and Ay are the components along the x and y axes.