How to find the vector with a given magnitude and same direction?

||v||=5


u=%26lt;3,3%26gt;





how do I find the vector?


I've been stumped since earlier today.


Anyone help me out, please?|||Treat it as a geometry problem. Any vector passing through (3, 3) will have a slope of 1. So, you need a line of slope 1 such that it's length is 5. Let the vector be (x, y). You know that x = y, so we can write the vector as (x, x). From the Pythagorean Theorem,





5 = sqrt(x^2 + x^2) = sqrt(2x^2)





2x^2 = 25





x^2 = 12.5





x ~ 3.54





So, %26lt;3.54, 3.54%26gt;