Final answer:
The question asks how to confirm that lines AC and DF are parallel by measuring angles ZCBE and ZFEB with a protractor and involves understanding angle relationships in parallel lines. It also discusses measuring the magnitude and direction of a resultant vector using tools like a ruler and protractor, highlighting the connection between geometry and trigonometry.
Step-by-step explanation:
The question involves using a protractor to measure angles in a geometric setting. When lines AC and DF are parallel, the angles ZCBE and ZFEB should consistently reflect the properties of parallel lines (for instance, if they are corresponding angles or alternate interior angles, they should be equal). To confirm the parallel nature of AC and DF, after positioning the yellow dot accordingly, use the protractor to measure ZCBE and ZFEB and check for angle consistency that reflects parallel lines. Precision with a ruler and protractor is essential to ensure accurate measurements.
For vector measurements, as described in the steps provided, a ruler can be used to determine the magnitude of the resultant vector R and a protractor to find the direction relative to the reference frame. In most cases, trigonometric relationships are used to find the magnitude and direction of vectors. However, when drawing and measuring them manually, represent the vectors with arrows, use the correct scale for length using a ruler, and the protractor to measure angles with respect to a horizontal or vertical axis to identify the direction.