Q3. Which of the following statements, if any, involves a vector? Circle all tha

Question

Q3. Which of the following statements, if any, involves a vector? Circle all that apply. (a) My bank account shows a negative balance of $15. (b) I walked two miles due north along the beach. (c) I walked two miles along the beach. (d) I jumped off a cliff and hit the water traveling straight down at 17 miles per hour. (e) I jumped into a river and hit the water traveling at 17 miles per hour. Q4. Two vectors, A and B, are added by means of vector addition to give a resultant vector R: m an orientation. What are the maximum and minimum possible values for the magnitude of R?

Explanation / Answer

Vectors:- A quantity that has both magnitude and direction.

Scalars:- Scalars are quantities that are fully described by a magnitude (or numerical value) alone.

Therefore the key difference between Vectors and scalars is of the direction because both have magnitudes.

Problem-1

Part-a

Negative balance has to show a negative sign before the magnitude, thus the result must be -15$

thus it involves vector

Part-b

Two miles due north along beach

In this example north direction is given thus it involves vector

Part-c

Two miles along the beach

this example has only magnitude and no direction is given with it thus it dosen't involves vector.

Part-d

Straight down 17 miles thus it also involves vector

Part-e

Direction is not given just the magnitude 17 miles per hour is given, therefore it dosen't involve vector

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