Question

Let r = (7, 1), s = (-6, 2), and t = (-9, -3). What is 10r + S-t?

A) (55, 9)
B) (55, 15)
C) (73, 6)
D) (73, 15)

Answer 1

The correct option is D). To find the result of 10r + s - t, we first multiply r by 10, then add s and subtract t from the result, yielding the answer D) (73, 15).

Step-by-step explanation:

The question asks for the result of the vector operation 10r + s - t. First, we multiply the vector r = (7, 1) by 10, which gives us (70, 10). We then add vector s, which is (-6, 2), and subtract vector t, which is (-9, -3), from this result. The calculation looks like this:

• 10r = (10 × 7, 10 × 1) = (70, 10)
• 10r + s = (70 + (-6), 10 + 2) = (64, 12)
• (10r + s) - t = (64 - (-9), 12 - (-3)) = (64 + 9, 12 + 3) = (73, 15)

The correct answer is D) (73, 15).