Magnitude of perpindicular vectors

[Tankertert]

Homework Statement

v = (-4, -2) and need to find alll vectors of magnitude 4 that are perpindicular to v

Homework Equations

The Attempt at a Solution

I tried
let (x, y) be the vector of interest.

-4x -2y = 0
x^2 + y^2 = 16.

Is this the right track? If so, how do i solve from here?

 

[Curious3141]

Homework Statement

v = (-4, -2) and need to find alll vectors of magnitude 4 that are perpindicular to v

Homework Equations

The Attempt at a Solution

I tried
let (x, y) be the vector of interest.

-4x -2y = 0
x^2 + y^2 = 16.

Is this the right track? If so, how do i solve from here?

Yes, right track. Just solve the simultaneous equation pair. Substitution is the easiest way. Use the first equation to get y in terms of x, then substitute into the second.

You should now get two values of y (remember to take both positive and negative square roots). Put that back into the first equation to get the corresponding values of x. Each solution (x,y) corresponds to a valid vector meeting the conditions.