Cho mp  (P):x+2y−z+5=0  và  đt (d):x+12=y+11=z−31

1, Tính góc giưa  (d)  và  (P)
2, Viết pt mp (Q) qua  A  vuông góc với  (d)
3, Viết pt hình chiếu  (d′)  của  (d) trên  (P)
4, Viết pt mặt cầu tâm I nằm trên (d) tiếp xúc với mp (P)  và có bán kính R=√6
5, Viết pt mp  (R)  chứa đt  d và tạo với  (P)  1 góc nhỏ nhất

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