Chapter 14.1, Problem 12OE

To determine

To explain: The vector joining two lettered points of aparallelogram $ABCD$ is equivalent to the given vector $\overrightarrow{-AC}$ .

  

Answer to Problem 12OE

The statement “The vector joining two lettered points of a parallelogram $ABCD$ of The statement is $CA$ .

Explanation of Solution

Given information:

The vector joining two lettered points of a parallelogram $ABCD$ is equivalent to the given vector $\overrightarrow{-AC}$ .

Consider the provided statement “A parallelogram $ABCD$ .

Parallelogram has a property that opposite sides of a parallelogram are parallel to each other.

Parallelogram has four sides and four angles, sometimes sides and angles are equal and sometimes they may different.

Each diagonal bisects each other and each diagonal divides the quadrilateral into two equal congruent triangles.

Thus the, $\overrightarrow{-AC}$ ,

Here, by the property of vector.

  $-AC=CA$

Thus, the statement, The statement “The vector joining two lettered points of a parallelogram $ABCD$ of $\overrightarrow{-AC}$ is $CA$ .