Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Which vector below goes from [tex]\((0,0)\)[/tex] to [tex]\((1,-3)\)[/tex]?

A. [tex]\(\vec{c}\)[/tex]
B. [tex]\(d\)[/tex]
C. [tex]\(b\)[/tex]
D. [tex]\(\vec{a}\)[/tex]

Sagot :

GinnyAnswer
To determine which vector goes from [tex]\((0,0)\)[/tex] to [tex]\((1,-3)\)[/tex], let's analyze the movement from the starting point to the endpoint.

1. Starting Point & Endpoint: We're moving from the initial point [tex]\((0,0)\)[/tex] to the final point [tex]\((1,-3)\)[/tex].
2. Calculating the Vector Components:
- The change in the [tex]\(x\)[/tex]-coordinate is [tex]\(1 - 0 = 1\)[/tex].
- The change in the [tex]\(y\)[/tex]-coordinate is [tex]\(-3 - 0 = -3\)[/tex].

So, the vector that describes this movement is [tex]\(\vec{v} = (1, -3)\)[/tex].

Given the options:

- A. [tex]\(\vec{c}\)[/tex]
- B. [tex]\(d\)[/tex]
- C. [tex]\(b\)[/tex]
- D. [tex]\(\vec{a}\)[/tex]

We need to identify which option represents the vector [tex]\((1, -3)\)[/tex].

From the information provided, the correct answer is option A, [tex]\(\vec{c}\)[/tex].

Thus, the vector [tex]\( \vec{c} \)[/tex] goes from [tex]\((0,0)\)[/tex] to [tex]\((1,-3)\)[/tex]. Therefore, the answer is:
A. [tex]\(\vec{c}\)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.