Question

Vector e is 0.111 m long in a 90.0° direction. Vector f is 0.234 m long in a 300° direction. Find the magnitude of the resultant vector when vector e and vector f are added together.

Answer 1

To calculate the magnitude of the resultant vector when adding two vectors with known magnitudes and directions, decompose each vector into horizontal and vertical components, sum the components, and use the Pythagorean theorem.

Step-by-step explanation:

The student is attempting to calculate the magnitude of the resultant vector when two vectors, vector e and vector f, with given magnitudes and directions are added together. Vector e has a magnitude of 0.111 m in a 90.0° direction and vector f has a magnitude of 0.234 m in a 300° direction. To calculate the resulting magnitude, one would typically decompose each vector into its horizontal and vertical components, add the components of each vector separately, and finally use the Pythagorean theorem to find the magnitude of the resultant vector.