Final answer:
The question involves finding the magnitude and direction of the resultant vector when given the magnitudes and angles of two vectors in the context of physics, specifically vector addition.
Step-by-step explanation:
The question pertains to the analysis of vectors and their magnitudes and directions in a two-dimensional plane. When given the magnitudes and angles of two vectors, we can find the resultant vector using trigonometric methods or graphical representations. For instance, the resultant vector's magnitude can be found using a scale drawing and measuring its length, while its direction can be determined by measuring the angle from a specified reference axis, like the positive x-axis.
Example
If vector A has a magnitude of 11.7 m angled at 48.8° counterclockwise from the +x direction, and vector B has a magnitude of 16.6 m angled at 15°, the magnitude and direction of the resulting vector can be computed analytically or graphically. The given examples highlight different scenarios where vectors are combined, and their resultant magnitudes and directions are calculated using the vectors' components or by using measurements from scale drawings.