Resolver el ejercicio de la imagen?

A) hallemos la ecuación vectorial

<img src="https://tex.z-dn.net/?f=P%3D%5C%7B%28x%2Cy%2Cz%29%3D%281%2C0%2C2%29%2B%5B%28-2%2C3%2C4%29-%281%2C0%2C2%29%5Dt~%7C~t%5Cin%20%5Cmathbb%20R%5C%7D%5C%5C%20%5C%5C%0AP%3D%5C%7B%28x%2Cy%2Cz%29%3D%281%2C0%2C2%29%2B%28-3%2C3%2C2%29t~%7C~t%5Cin%20%5Cmathbb%20R%5C%7D%5C%5C%20%5C%5C%0A%5Ctexttt%7BEcuaci%5C%27on%20param%5C%27etrica%3A%20%7D%5C%5C%20%5C%5C%0A%5Chspace%2A%7B4cm%7D%5Cbegin%7Bcases%7D%0Ax%3D1-3t%5C%5C%0Ay%3D3t%5C%5C%0Az%3D2%2B2t%0A%5Cend%7Bcases%7D" />

b) veamos.

<img src="https://tex.z-dn.net/?f=%28-1%2C4%2C1%29%3D%281%2C0%2C2%29%2B%28-3%2C3%2C2%29t%5C%5C%20%5C%5C%0A%28-1%2C4%2C1%29-%281%2C0%2C2%29%3D%28-3%2C3%2C2%29t%5C%5C%20%5C%5C%0A%28-2%2C4%2C-1%29%3D%28-3%2C3%2C2%29t%5C%5C%20%5C%5C%0A-3t%3D-2%5Cwedge%203t%3D4%5Cwedge%202t%3D-1%5C%5C%20%5C%5C%0At%3D%5Cdfrac%7B2%7D%7B3%7D%5Cwedge%20t%3D%5Cdfrac%7B4%7D%7B3%7D%5Cwedge%20t%3D-%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctexttt%7BPor%20ende%20el%20punto%20%7DP%5Cnotin%20L" />

c) Usaremos la siguiente fórmula <img src="https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B%5Cleft%7C%5Coverrightarrow%7BAQ%7D%5Ccdot%20%5Cvec%20v%5Cright%7C%7D%7B%5C%7C%5Cvec%20v%5C%7C%7D" />

donde<img src="https://tex.z-dn.net/?f=%5Cvec%20v%3D%28-3%2C3%2C2%29" />

<img src="https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B%5Cleft%7C%28Q-A%29%5Ccdot%20%28-3%2C3%2C2%29%5Cright%7C%7D%7B%5C%7C%28-3%2C3%2C2%29%5C%7C%7D%5C%5C%20%5C%5C%20%5C%5C%0Ad%3D%5Cdfrac%7B%5Cleft%7C%282%2C-2%2C0%29%5Ccdot%20%28-3%2C3%2C2%29%5Cright%7C%7D%7B%5Csqrt%7B9%2B9%2B4%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%0Ad%3D%5Cdfrac%7B%7C-6-6%7C%7D%7B%5Csqrt%7B22%7D%7D%5C%5C%20%5C%5C%20%5C%5C%0A%5Cboxed%7Bd%3D%5Cdfrac%7B12%7D%7B%5Csqrt%7B22%7D%7D%7D" />.