Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Answer to Problem 1RE

The given statement is $\underset{\_}{\text{true}}$.

Explanation of Solution

A vector should have magnitude and direction.

Let $A$ and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of $A+B$ is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is $\underset{\_}{\text{true}}$.