Could someone explain this question to me?
I attempted the question and here is why I chose the answer below.
Thank you!
--------------------------------------
1. If A ⃗ is a vector representing 50 km/h northeast, what is 3/5 A ⃗?
a) 30 km/h southwest
b) 30 km/h northeast
c) 30 km/h northwest
d) 30 km/h southeast
I attempted the question and here is why I chose the answer:
3/5(50)=30 km/h. It is northeast because the value is not negative. If it were to be negative, it would go south, so the answer is B
---------------------------------------
2. A ⃗ represents vector going 5km/h N20°E. What is -1/5 A ⃗
a) 5km/h S20°E
b) 1km/h S20°W
c) 1km/h W20°S
d) 5km/h S20°W
Answer is B, 1km/h S20°W because the value is negative, it is going south and west,thus opposite direction.
correct on both problems. Good job.
To explain the questions further:
Question 1:
We are given a vector A representing 50 km/h northeast. We need to find 3/5 of A.
To find 3/5 of A, we multiply the magnitude (length) of A by 3/5.
Magnitude of A = 50 km/h
3/5 of A = (3/5) * (50 km/h) = 30 km/h
Since the value is positive and the direction remains the same (northeast), the correct answer is option b) 30 km/h northeast.
Question 2:
We are given a vector A representing 5 km/h N20°E. We need to find -1/5 of A.
To find -1/5 of A, we multiply the magnitude (length) of A by -1/5.
Magnitude of A = 5 km/h
-1/5 of A = (-1/5) * (5 km/h) = -1 km/h
Since the value is negative, the direction will be opposite. Additionally, since the angle is given as N20°E, which means it is 20° east of north, the correct answer would be in the south and west direction.
The correct answer is option b) 1 km/h S20°W.
Sure! I can explain the questions to you.
1. The question asks for the result of multiplying a vector A by 3/5. The given information is that vector A represents 50 km/h northeast. To find the answer, you need to multiply 50 km/h by 3/5.
By multiplying 50 km/h by 3/5, you get 30 km/h. The value is positive, so it means the direction remains the same, which is northeast. Therefore, the correct answer is b) 30 km/h northeast.
2. In this question, vector A represents a vector going 5 km/h N20°E. The question asks for the result of multiplying -1/5 with vector A. To find the answer, you need to multiply 5 km/h N20°E by -1/5.
By multiplying 5 km/h by -1/5, you get -1 km/h. The value is negative, so it means the direction should be in the opposite direction. The original direction is N20°E, so the opposite direction would be S20°W. Therefore, the correct answer is b) 1 km/h S20°W.
I hope this explanation helps! Let me know if you have any further questions.