Vectors Part I and II

Front

What is a vector?

Back

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

Front

What is a scalar?

Back

A scalar is a quantity that has only magnitude and no direction, such as temperature or mass.

Front

How do you calculate the resultant vector of two perpendicular vectors?

Back

Use the Pythagorean theorem: Resultant = √(A² + B²), where A and B are the magnitudes of the two vectors.

Front

What is the angle of a resultant vector?

Back

The angle can be found using the tangent function: θ = tan⁻¹(opposite/adjacent).

Front

What is the horizontal component of a vector?

Back

The horizontal component is the projection of the vector along the horizontal axis.

Front

What is the vertical component of a vector?

Back

The vertical component is the projection of the vector along the vertical axis.

Front

If a boat moves East at 5 m/s and the river flows South at 3.3 m/s, what is the resultant speed?

Back

6.0 m/s.

Front

What does it mean for a vector to be at an angle below the horizontal?

Back

It indicates that the vector has a vertical component directed downward.

Front

How do you determine the vertical velocity of an object moving at an angle?

Back

Use the formula: Vertical velocity = magnitude × sin(angle).

Front

What is the significance of negative velocity?

Back

Negative velocity indicates motion in the opposite direction of the defined positive direction.