Question

8.

1. plot the points ( c(-3,1), o(2,4), l(5,-2) ) on a coordinate axis. state the coordinates of point ( t ) such that ( c, o, l ), and ( t ) form a parallelogram.

answer in ( (x, y) ) format
type a response

Explanation:

Step1: Find vector OC

Point \( C(-3,1) \), so vector \( \overrightarrow{OC} = (-3,1) \).

Step2: Find vector OL

Point \( L(5,-2) \), so vector \( \overrightarrow{OL} = (5,-2) \).

Step3: Calculate vector OT for parallelogram

In parallelogram \( COL T \), \( \overrightarrow{OT} = \overrightarrow{OC} + \overrightarrow{OL} \).
$$\overrightarrow{OT} = (-3 + 5, 1 + (-2)) = (2, -1)$$

Answer:

(2, -1)