Question

Find the dot product of u = 〈3, –4〉 and v = 〈–7, –2〉.

Option 1: u · v = –29
Option 2: u · v = –22
Option 3: u · v = –13
Option 4: u · v = –10

Answer 1

The dot product of vectors u = <3, –4> and v = <–7, –2> is calculated by multiplying their corresponding components and adding the results, yielding a dot product of -29.

Step-by-step explanation:

To find the dot product of two vectors u and v, we multiply their corresponding components and sum the results. Given u = <3, –4> and v = <–7, –2>, the dot product u · v is calculated as follows:

(3 * –7) + (–4 * –2) = –21 + 8 = –29

Therefore, the correct dot product of vectors u and v is –29. This corresponds with Option 1: u · v = –29. The dot product is a form of scalar multiplication that results in a scalar value, different from the vector product, which results in a vector.