12.1-bo'lim : 3-D koordinata tizimi

1. \(P = \left( { - 9,1,5} \right)\) ning uchta koordinata tekisligiga proyeksiyasini keltiring.
2. \(P = \left( {3, - 2, - 5} \right)\) ning uchta koordinata tekisligiga proyeksiyasini keltiring.
3. \(P = \left( {8, - 9,3} \right)\) va \(Q = \left( { - 6,4, - 5} \right)\) nuqtalarining qaysi biri \(xz\) tekisligiga yaqinroq?
4. \(P = \left( {8, - 9,3} \right)\) va \(Q = \left( { - 6,4, - 5} \right)\) nuqtalarining qaysi biri \(xy\) tekisligiga yaqinroq?
5. \(P = \left( {5, - 4,3} \right)\) va \(Q = \left( { - 6,3,9} \right)\) nuqtalarining qaysi biri \(x\) o'qiga yaqinroq?
6. \(P = \left( {5, - 4,3} \right)\) va \(Q = \left( { - 6,3,9} \right)\) nuqtalarining qaysi biri \(y\) o'qiga yaqinroq?

7-9-masalalar uchun berilgan tenglamada grafik bo'ladigan barcha koordinata tizimlarini (\(\mathbb{R}\), \({\mathbb{R}^2}\), \({\mathbb{R}^3}\)) sanab o'ting. Grafikni chizmang.

1. \(\displaystyle 8z + \frac{{x + 1}}{{{y^2} + 2}} = 4x\)
2. \(\sqrt {y + 2} = 6\)
3. \(\displaystyle 7{y^3} - \frac{2}{{x + 1}} = xy\)