Vector: Composition & Resolution

Front

What is the resultant vector?

Back

The resultant vector is the vector that represents the sum of two or more vectors, drawn from the tail of the first vector to the head of the last vector.

Front

What is vector resolution?

Back

Vector resolution is the process of breaking a vector into its component parts, typically along the x (horizontal) and y (vertical) axes.

Front

How do you calculate the northward component of a vector moving at an angle?

Back

To calculate the northward component of a vector, use the formula: Component = Magnitude × sin(Angle).

Front

What is the significance of the direction in vector addition?

Back

The direction of vectors is crucial in vector addition as it determines the resultant vector's direction and magnitude.

Front

What does it mean if the order of vector addition does not affect the result?

Back

It means that vector addition is commutative; the sum remains the same regardless of the order in which the vectors are added.

Front

What is the formula to find the magnitude of the resultant vector from two vectors?

Back

The magnitude of the resultant vector R from two vectors A and B can be calculated using R = √(A² + B² + 2ABcos(θ)), where θ is the angle between the two vectors.

Front

What is the angle of displacement if a vector is 7.6 degrees, N of W?

Back

The angle of displacement indicates that the vector is directed 7.6 degrees towards the north from the west.

Front

How do you find the east/west component of a vector?

Back

To find the east/west component, sum all eastward movements and subtract all westward movements.

Front

What is the purpose of using a vector diagram?

Back

A vector diagram visually represents vectors, helping to understand their direction and magnitude in relation to one another.

Front

What is the difference between a scalar and a vector?

Back

A scalar is a quantity that has only magnitude (e.g., speed), while a vector has both magnitude and direction (e.g., velocity).