Vectors

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction.

Front

What is the magnitude of a vector?

Back

The magnitude of a vector is the length or size of the vector, representing how much of the quantity is present.

Front

What is a resultant vector?

Back

A resultant vector is the vector that results from adding two or more vectors together.

Front

How do you find the magnitude of a resultant vector using the Pythagorean theorem?

Back

If two vectors are perpendicular, the magnitude of the resultant vector R can be found using the formula R² = Rx² + Ry².

Front

What does it mean for two vectors to be equal?

Back

Two vectors are equal if they have the same magnitude and direction.

Front

What is the difference between scalar and vector quantities?

Back

Scalar quantities have only magnitude (e.g., mass, temperature), while vector quantities have both magnitude and direction (e.g., velocity, force).

Front

What is the formula for finding the components of a vector?

Back

The components of a vector can be found using trigonometric functions: Rx = R * cos(θ) and Ry = R * sin(θ).

Front

What is the significance of the angle between two vectors?

Back

The angle between two vectors affects the magnitude of the resultant vector when they are added.

Front

What is the graphical representation of vectors?

Back

Vectors are often represented graphically as arrows, where the length represents magnitude and the direction of the arrow represents direction.

Front

How do you add two vectors graphically?

Back

To add two vectors graphically, place the tail of the second vector at the head of the first vector and draw the resultant vector from the tail of the first to the head of the second.