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

Does the order of vector addition affect the result?

Back

No, the order in which vectors are added does not affect the resultant; vector addition is commutative.

Front

What is the equilibrant vector?

Back

The equilibrant vector is a vector that, when added to a given set of vectors, results in a net vector of zero.

Front

How do you represent vector addition graphically?

Back

Vector addition can be represented graphically by placing the tail of one vector at the head of another and drawing the resultant from the tail of the first vector to the head of the last.

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.

Front

If vector A is 5 units east and vector B is 3 units north, what is the resultant vector's magnitude?

Back

The magnitude of the resultant vector can be found using the Pythagorean theorem: √(5² + 3²) = √34 ≈ 5.83 units.

Front

What is the E/W component of a vector?

Back

The E/W component of a vector refers to its horizontal projection, indicating how far it moves east or west.

Front

What is the N/S component of a vector?

Back

The N/S component of a vector refers to its vertical projection, indicating how far it moves north or south.

Front

How do you calculate the total displacement from multiple vectors?

Back

Total displacement is calculated by summing all the E/W components and all the N/S components separately, then combining them to find the resultant.

Front

What does it mean for a vector to be directed at an angle?

Back

A vector directed at an angle means it has both horizontal and vertical components, which can be resolved into E/W and N/S components.