13. bob walks 4 miles west and stops to rest. he then continues to walk another 3 miles west. what is his…

13. bob walks 4 miles west and stops to rest. he then continues to walk another 3 miles west. what is his displacement?\na) 12 miles west\nb) 7 miles west\nc) 1 mile west\nd) 7 miles east\n14. what is this equation: a² + b² = c²\na) standard vector form\nb) equation of a circle\nc) pythagorean theorem\nd) resultant vector\n15. how do scalars and vectors differ?\na) scalers have direction\nb) vectors have units\nc) scalers have units\nd) vectors have direction

13. bob walks 4 miles west and stops to rest. he then continues to walk another 3 miles west. what is his displacement?\na) 12 miles west\nb) 7 miles west\nc) 1 mile west\nd) 7 miles east\n14. what is this equation: a² + b² = c²\na) standard vector form\nb) equation of a circle\nc) pythagorean theorem\nd) resultant vector\n15. how do scalars and vectors differ?\na) scalers have direction\nb) vectors have units\nc) scalers have units\nd) vectors have direction

Answer

Explanation:

Step1: Calculate displacement for question 13

Displacement is a vector. Since Bob walks in the same direction (west), we add the distances. $4 + 3=7$ miles west.

Step2: Identify the equation for question 14

The equation $a^{2}+b^{2}=c^{2}$ is the Pythagorean Theorem, which is used for right - angled triangles.

Step3: Recall the difference between scalars and vectors for question 15

Scalars have only magnitude, while vectors have both magnitude and direction.

Answer:

  1. b) 7 miles west
  2. c) Pythagorean Theorem
  3. d) vectors have direction