The coordinates of P' and Q' implies that the terminal point of vector cu lies in quadrant III and this can be determined by using the given data.
Given :
Let u = PQ be the directed line segment from P(0,0) to Q(9,12) and let c be a scalar such that c < 0.
The following steps can be used in order to determine the correct statement:
Step 1 - According to the given data, the coordinates of P and Q are (0,0) and (9,12) respectively.
Step 2 - It is also given that c is a scaler such that (c < 0).
Step 3 - So, multiply the coordinates of P and Q by a negative number.
Step 4 - After the multiplication with the negative number, the coordinates of P and Q become P'(0,0) and Q'(-9,-12).
Step 5 - The coordinates of P' and Q' implies that the terminal point of vector cu lies in quadrant III.
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/7558603
