What is the length of the y-component of the vector plotted below?
A. 2
B. 3
C. 4
D. 0
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Answer:
C. 4
Explanation:
In the graph, we can notice that each tick corresponds to a length of 1 unit.
The x-component of the vector is the projection of the vector itself along the x-axis, while the y-component of the vector is the projection of the vector itself along the y-axis.
By projecting the end of the arrow on the two axes (x- and y- axis), we see that the length of the two components are:
x-component: 3 units
y-component: 4 units
Since the problem is asking us the length of the y-component, the correct answer is
C. 4