vector component

Front

What is a vector component?

Back

A vector component is a part of a vector that represents its influence in a specific direction, typically broken down into horizontal (x) and vertical (y) components.

Front

What is the difference between a vector and a scalar?

Back

A vector has both magnitude and direction (e.g., velocity, acceleration), while a scalar has only magnitude (e.g., temperature, mass).

Front

How do you find the resultant vector of two vectors in the same direction?

Back

To find the resultant vector of two vectors in the same direction, you simply add their magnitudes.

Front

What is the Pythagorean theorem used for in vector addition?

Back

The Pythagorean theorem is used to find the resultant vector when two vectors are at right angles to each other, calculated as R = √(A² + B²).

Front

What are the x-component and y-component of a vector?

Back

The x-component is the horizontal part of a vector, while the y-component is the vertical part.

Front

How do you subtract vectors?

Back

To subtract vectors, you add the negative of the vector being subtracted to the other vector.

Front

What is the formula for calculating the magnitude of a vector?

Back

The magnitude of a vector can be calculated using the formula |V| = √(x² + y²), where x and y are the components of the vector.

Front

What does it mean for vectors to be collinear?

Back

Collinear vectors are vectors that lie along the same line, meaning they have the same or opposite direction.

Front

What is a unit vector?

Back

A unit vector is a vector with a magnitude of 1, used to indicate direction.

Front

How do you resolve a vector into its components?

Back

To resolve a vector into its components, you use trigonometric functions: x = |V| cos(θ) and y = |V| sin(θ), where θ is the angle of the vector.