2 Quesiti su Sfere e Piani Tangenti #2 (Spiegati Passo Passo)

0:00 - Exercise 4 12:29 - Exercise 5 Useful links: Part One:    • 3 Quesiti su Sfere e Piani Tangenti #1 (Sp...   If you need private online lessons and would like more information, please email me at: [email protected] Texts: 4) Consider the points A(1;0;0), B(-2;2;2), and C(1;1;4) in an orthogonal reference frame Oxyz. After demonstrating that the points are not aligned, determine the equation of the plane α passing through A, B, and C and the parametric equation of the line perpendicular to α drawn from point C. 5) In an orthogonal and monometric reference system Oxyz, the spherical surface Σ with equation x² + y² + z² - 4y - 4 = 0 and the line r with equation x = -y, z = x are assigned. Determine the coordinates of the points A and B where Σ intersects with r and write the equations of the tangent planes to the sphere at these points. Write in parametric form the equations of the line s obtained from the intersection of the two tangent planes.