Question

The tail of a curve arrow always begins at __________ The head points to ____________

Answer 1

When dealing with vectors, the tail of a curve arrow represents the vector's starting point, and the head is the vector's endpoint. In vector addition using the head-to-tail method, the tail of each subsequent vector is placed at the head of the previous one, and a resultant vector is then drawn from the tail of the first vector to the head of the last vector.

Step-by-step explanation:

The tail of a curve arrow always begins at the starting point of a vector, while the head points to the end point. In the context of vectors, when adding them using the head-to-tail method, you draw the first vector and then each subsequent vector starts (tail) where the previous vector ends (head).

The resultant vector is then drawn from the tail of the first vector to the head of the final vector, effectively summing up all vectors in the sequence.

Steps to Add Vectors Using the Head-to-Tail Method:

1. Draw the first vector with its specific magnitude and direction on a graph.
2. Place the tail of the subsequent vector at the head of the previous vector.
3. To find the overall effect, draw the resultant vector from the tail of the first vector to the head of the last vector.

The resultant vector represents the sum of all the vectors and determines both the magnitude and direction of the combined vectors.