Question

Which equation describes the sum of the vectors plotted below?

Answer 1

Answer: A.
`\vec r = 4\hat x+2\hat y`

Step-by-step explanation:

Sum of Vectors

The vectors plotted in the graph are arranged using the head-to-tail method, i.e. placing the tail of the second vector at the head of the first vector. The head of the second vector indicates the sum of both vectors.

From the graph, we can see the head of the second vector lies in the point of coordinates (4,2).

This vector is represented as:

`\vec r = 4\hat x+2\hat y`

Answer: A.
`\mathbf{\vec r = 4\hat x+2\hat y}`