Vectors

Front

What is a vector?

Back

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

Front

What is a scalar?

Back

A scalar is a quantity that has only magnitude and no direction.

Front

How do you combine vectors that are in the same direction?

Back

You add their magnitudes.

Front

How do you combine vectors that are in opposite directions?

Back

You subtract their magnitudes.

Front

What is the resultant vector?

Back

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

Front

What does it mean for vectors to be perpendicular?

Back

Vectors are perpendicular if they meet at a right angle (90 degrees) to each other.

Front

What is the formula for finding the magnitude of the resultant vector when two vectors are at right angles?

Back

The magnitude of the resultant vector R can be found using the Pythagorean theorem: R = √(A² + B²), where A and B are the magnitudes of the two vectors.

Front

What is the significance of the angle in vector addition?

Back

The angle between vectors affects the magnitude of the resultant vector; vectors at 0 degrees add directly, while vectors at 90 degrees require the Pythagorean theorem.

Front

What is the component of a vector?

Back

A component of a vector is its projection along the axes of a coordinate system, typically represented as horizontal (x) and vertical (y) components.

Front

What is the direction of a vector?

Back

The direction of a vector is the angle it makes with a reference direction, usually measured in degrees.