IDZ 3.1 - Option 23. 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;

1.23 A1 (2, 3, 5), A2 (5, 3, -7), A3 (1, 2, 7), A4 (4, 2, 0)

• Solve the following tasks

Find the projection of 2.23 M (4, 3, 1) in the plane x - 2y - z-15 = 0

• Solve the following tasks

3.23 Write the equation of the plane passing through the point K (2, -5, 3) parallel to the plane Oxz.

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.