Question

Use the figure at the right. Determine whether the given statement is true or false.

$G+H+E=D$

Short answer

The given statement is True.

Step-by-step solution

Step 1. Given Information 

We are given a statement $G+H+E=D$and we need to find if the statement is true or false.

Step 2. Proving the statement  

$G+H$implies addition of two vectors.

So the terminal point of the vector $H$is joined with the initial point of the vector $G$forming vector $G+H$.

The vector $G+E$implies addition of two vectors.

So the initial point of the vector $E$is joined with the terminal point of the vector $G$forming vector $G+E$.

Again, the initial point of vector $D$coincides with the initial point of vector $H$and the terminal point of vector $D$coincides with the terminal point of vector $E$.

$\therefore G+H+E=D$

Therefore, the given statement $G+H+E=D$is true.