Chapter 6.3, Problem 30E

To determine

To Graph:The vector $\text{v-}\frac{1}{2}\text{u}$ using the given figure.

Explanation of Solution

Given:

  

Graph:

To graph the addition of two vectors, a vector is drawn from the initial point of vector u to the terminal point of vector v.

Vector subtraction is similar to the addition and to find $u-v$ it is taken as $u+(-v)$

The vector v is moved parallel to its initial position. The vector u is halved in magnitude and reversed in direction and moved to a parallel position so that the initial point of vector v is joined to the terminal point of $\text{-}\frac{1}{2}u$ vector

  

Interpretation:

The vectortravels from $\text{v-}\frac{1}{2}u$ the initial point of v to the terminal point of vector $\text{-}\frac{1}{2}u$ in a straight line.