Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Option c

Explanation:

We are being asked to find unit vector u given the direction as x = < 40, 9 >. In most cases it would be v = < 40, 9 >, but it is the same concept.

To find the magnitude, given 40 and 9, you would do the following -

`| v | = √(40^2 + 9^2),\\| v | = √(1600 + 81),\\\\| v | = 41`

We got the magnitude to be 41. Now let us find unit vector u through the following calculations -

`u = < 40, 9 > / 41,\\u = < 40 / 41, 9 / 41 >`

And there you have it! The solution is option c!