vector operations

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 physical quantity that has magnitude but no direction.

Front

What is the resultant displacement?

Back

The resultant displacement is the overall change in position of an object, taking into account both magnitude and direction.

Front

How do you calculate the magnitude of resultant displacement?

Back

To calculate the magnitude of resultant displacement, subtract the smaller displacement from the larger displacement if they are in opposite directions.

Front

What is the horizontal component of a projectile's velocity?

Back

The horizontal component of a projectile's velocity is the velocity in the horizontal direction, which remains constant if air resistance is negligible.

Front

What is the vertical component of a projectile's velocity?

Back

The vertical component of a projectile's velocity is affected by gravity and changes over time.

Front

What is the difference between distance and displacement?

Back

Distance is a scalar quantity representing the total path length traveled, while displacement is a vector quantity representing the shortest path from the initial to the final position.

Front

What is the formula for calculating the resultant of two vectors?

Back

The resultant of two vectors can be calculated using the Pythagorean theorem if they are perpendicular: R = √(A² + B²).

Front

What does it mean for a vector to be independent of another vector?

Back

A vector is independent of another vector if its magnitude and direction do not affect the other vector's magnitude and direction.

Front

What is the significance of direction in vector operations?

Back

Direction is crucial in vector operations as it determines how vectors combine and interact with each other.