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The equations of motion of a rocket are ...

The equations of motion of a rocket are :
x = 2t,y = −4,z = 4t?, where the time t is given in seconds, and the coordinates of a moving point in km. What is the path of the rocket ? At what distance will the rocket be from the starting point O(0,0) and from the following line in 10 seconds ?
`vec(r) = 20 hat(i) - 10 hat(j) + 40hat(k) + mu ( 10hat(i) - 20hat(j) + 10hat(k))`

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