IDZ 3.1 - Option 22. Decisions Ryabushko AP

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• 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;

1.22 A1 (4, 2, 10), A2 (1, 2, 0), A3 (3, 5, 7), A4 (2, 3, 5)

• Solve the following tasks

2.22 Create equation of the plane passing through the point M (2, 3, -1) and direct x = t-3, y = 2t + 5, z = -3t + 1.

• Solve the following tasks

3.22 Find the point of intersection (x-7) / 5 = (y-1) / 1 = (z-5) / 4 and the plane 3x - y + 2z-8 = 0

Additional information

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