Question

Let v be the vector <12,5> and let w be the vector <-4,3>. What is ||v||?

Can someone help me, I am having trouble with the question. Thank you!

Answer 1

Would it be 13?

Answer 2

yes

Answer 3

Thank you

Answer 4

[AI-generated answer — Explain Bot]

Of course, I can help you with that question!

To find the magnitude, or norm, of a vector, you can use the formula:

||v|| = sqrt(v₁² + v₂²)

In this case, v = <12, 5>. So, we just need to substitute the values into the formula:

||v|| = sqrt(12² + 5²)
= sqrt(144 + 25)
= sqrt(169)
= 13.

Therefore, the magnitude of vector v, ||v||, is 13.