Question

Let v1 = (2, -6) and v2 = (-4, 7). Compute the dot product of v1 and v2?

Answer 1

The dot product of v1 = (2, -6) and v2 = (-4, 7) is calculated by multiplying corresponding components and adding the results, giving us a dot product of -50.

Step-by-step explanation:

The question asks for the dot product of two vectors, v1 and v2. To compute the dot product, we multiply the corresponding components of the vectors and add the results. Therefore, for v1 = (2, -6) and v2 = (-4, 7), the dot product v1 · v2 is calculated as follows:

(2) × (-4) + (-6) × (7)

= -8 - 42

= -50

Thus, the dot product of v1 and v2 is -50.