Refer to vectors a through h below. Make a copy or a sketch of each vector, and then draw a sketch to represent each of the following. For example, find a + e by placing a and e so that their initial points coincide. Then use the parallelogram rule to find the resultant, as shown in the figure on the right.


<IMAGE>


a + b

Verified step by step guidance

1. Identify the vectors a and b from the provided diagram or description.
2. Sketch vector a and vector b on a graph, ensuring that their initial points coincide.
3. Use the parallelogram rule to find the resultant vector: Draw a parallelogram where vectors a and b are adjacent sides. The diagonal of the parallelogram starting from the common initial point of vectors a and b represents the resultant vector.
4. Label the resultant vector as a + b.
5. Check the direction and magnitude of the resultant vector to ensure it accurately represents the sum of vectors a and b.

Key Concepts

Vector Addition

Vector addition involves combining two or more vectors to determine a resultant vector. This can be done graphically by placing the tail of one vector at the head of another, or by using the parallelogram rule, where two vectors are represented as adjacent sides of a parallelogram, and the diagonal represents the resultant.

Parallelogram Rule

The parallelogram rule is a method for finding the resultant of two vectors. By drawing a parallelogram where the two vectors are adjacent sides, the diagonal from the common initial point to the opposite corner represents the resultant vector. This rule is particularly useful for visualizing vector addition in two dimensions.

Sketching Vectors

Sketching vectors accurately is crucial for understanding their direction and magnitude. Each vector is represented as an arrow, where the length indicates the magnitude and the arrowhead shows the direction. Properly sketching vectors allows for clearer visualization and easier application of vector addition techniques.