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## Homework Statement

A particle of mass 1[kg] is moving with a velocity of: [tex]\vec{V}=2 \hat{x}+ \hat{y} -4 \hat{z} [m/s] [/tex]. At the instant t=0, the particle experiences a force which is given by:

[tex] \vec{F}= \vec{A} \times \vec{V} - (\vec{A} \cdot \vec{V}) \hat {A} [/tex] where [tex] \vec{A}= \hat{x} -6 \hat{y} + 2 \hat{z} [/tex].

What is the kinetic energy of the particle after a very long time?

**2. The attempt at a solution**

What I've done is to do these vectorial multiplications in order to obtain the force and from this expression I obtain the acceleration and by integration I obtain the time dependent velocity. However, if I let t approach infinity, then also the velocity will be infinity and the same thing for the kinetic energy, but this totally wrong.

How can I solve this?