ИДЗ 3.1 – Вариант 5. Решения Рябушко А.П.

1. Given four points A1 (x1, y1, z1), A2 (x2, y2, z2), A3 (x3, y3, z3), A4 (x4, y4, z4)
 Be the equation:
 a) a plane A1A2A3; b) direct A1A2;
 c) direct A4M perpendicular to the plane A1A2A3;
 g) direct A3N, parallel line A1A2;
 d) a plane passing through the point perpendicular to the line A4 A1A2.
 Calculated:
 e) The sine of the angle between the line and the plane A1A4 A1A2A3;
 g) the cosine of the angle between the coordinate plane and the plane Oxy A1A2A3;
 1.5 A1 (9, 5, 5), A2 (-3, 7, 1), A3 (5, 7, 8), A4 (6, 9, 2)

2. Solve the following tasks
 2.5 Write the equation of the plane passing through the axis Ox and the point A (2, 5, 1).

3. Solve the following tasks
 3.5 Be parametric equations medians of a triangle with vertices A (3, 6, -7), B (-5, 1, -4), C (0, 2, 3), drawn from the point C.

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.