Find Position Vector of Point for Half Torque Opposite Direction

[bingkei]

A particle is located at the vector position =(9.00 + 10.00) m and a force exerted on it is given by =(7.00 + 6.00) N. Consider another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude.
Multiple such points can exist.
Only one such point can lie on the y-axis
Determine the position vector of such a point
_____ j m



2. Homework Equations :
dot products



3. The Attempt at a Solution :
I've taken the torque (-16) and divided by 2, kept F as (7,6) and kept x of the position vector...I got 6.57 for the y but it was wrong.

 

[alphysicist]

Hi bingkei,

A particle is located at the vector position =(9.00 + 10.00) m and a force exerted on it is given by =(7.00 + 6.00) N. Consider another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude.
Multiple such points can exist.
Only one such point can lie on the y-axis
Determine the position vector of such a point
_____ j m



2. Homework Equations :
dot products



3. The Attempt at a Solution :
I've taken the torque (-16) and divided by 2, kept F as (7,6) and kept x of the position vector

If you keep the x coordinate from the original position vector, then your new position will not be on the y-axis.

...I got 6.57 for the y but it was wrong.