Question

Let v1 = (2,6) and v2 = (-4,7). Draw and label v1, v2, v1+v2.

a. (2,6)
b. (-4,7)
c. (6,13)
d. None of the above

Answer 1

The sum of vectors v1 = (2,6) and v2 = (-4,7) is (-2,13), which is not one of the given choices, therefore the answer is 'None of the above'.

Step-by-step explanation:

The student is asking about the addition of two vectors v1 and v2. Given v1 = (2,6) and v2 = (-4,7), the sum of these vectors, v1+v2, is computed by adding the corresponding components of each vector.

To find v1+v2, we add the first components (2 + (-4) = -2) and the second components (6 + 7 = 13), resulting in the vector (-2, 13). This is not the same as any of the options given, so the answer is None of the above.

To visualize these vectors, you would draw an arrow from the origin to (2,6) for v1, an arrow from the origin to (-4,7) for v2, and an arrow from the origin to (-2,13) for v1+v2.

To add two vectors, we add their corresponding components. Given v1 = (2,6) and v2 = (-4,7), the sum v1 + v2 = (2 + -4, 6 + 7) = (-2, 13). Therefore, the correct answer is (d) None of the above.