Question

1. bob walks 4 miles west and stops to rest. he then continues to walk another 3 miles west. what is his displacement?

a) 12 miles west
b) 7 miles west
c) 1 mile west
d) 7 miles east

1. what is this equation: a² + b² = c²

a) standard vector form
b) equation of a circle
c) pythagorean theorem
d) resultant vector

1. how do scalars and vectors differ?

a) scalers have direction
b) vectors have units
c) scalers have units
d) vectors have direction

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