paolaf3475

10.09.2021 • 

Mathematics

1. [V] Let P be the plane through the point (2, 0, 3) that is perpendicular to the line with parameterization r(t) = (1 + 3t)i + (2 − t)i + 4tk. Find a level set equation and two different parameterizations for P. 3. [V] Find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the plane. How would you work out the area of the triangle in the plane that is formed by these three intercepts? (Don’t do the calculation: Just explain.)

4. [V] Find a parametrization of the plane that contains both the point (2, 4, 6) and the line x = 7 − 3t, y = 3 + 4t, z = 5 + 2t.

Ответ:

kodarae2501

02.05.2022

Mathematics

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Given:

Triangle EFG is similar to triangle HIJ.

To find:

The measure of side IJ.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Triangle EFG is similar to triangle HIJ.

Putting the given values, we get

Therefore, the measure of side IJ is 18.3 units.

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