- Exercise 1 8 32 A 2 Points Find The Cartesian Equation Of The Plane Paring Through P 1 0 2 And Orthogonal To 1 2 1 (24.99 KiB) Viewed 12 times
© = (1,0,2) and P a (1,0, 1). Find the points belonging to the line whose distan
from O is 2
(e) (3 points) Let A = (1,0,0), Py = (0, 1, 0) and P = (0,0, 1). Compute the aren
the trinngle with vertios P,, Py,
EXERCISE 2 (8/32).
(a) (2 points)
• Draw P, (1) =< 4, foost, fint > with O St < Ax.
• Let Pa(1) =< 1, 2t cost, t, taint > What kind of geometric transformation
we pond to apply to 7, (2) so to obtain 72(e)?
-
- Exercise 1 8 32 A 2 Points Find The Cartesian Equation Of The Plane Paring Through P 1 0 2 And Orthogonal To 1 2 2 (24.99 KiB) Viewed 12 times
- Exercise 1 8 32 A 2 Points Find The Cartesian Equation Of The Plane Paring Through P 1 0 2 And Orthogonal To 1 2 3 (27.16 KiB) Viewed 12 times
EXERCISE 1 (8/32) (a) (2 points) Find the cartesian equation of the plane passing through P= (1,0,2) and orthogonal to <1,2,-1>. (b) (3 points) Determine the parametric equation of the straight line passing through Q-(1,0,2) and P (1,0,1). Find the points belonging to the line whose distance from Q is 2. (e) (3 points) Let A (1,0,0), P = (0,1,0) and Ps= (0,0,1). Compute the area of the triangle with vertices P₁, P₂, P. EXERCISE 2 (8/32). (a) (2 points) • Draw (t)=<t,tcost, tsint> with 0 <t<4r. • Let 72(t) =< t, 2t cost, t, tsint>. What kind of geometric transformation do we need to apply to (t) so to obtain 7₂(t)? (b) (6 points) Let 31 6 1 12 38 -- By employing the Rouché - Capelli theorem discuss the solvability of the linear system Az = b. Specify if the solution exists unique. In case of existence, determine the solution(s) employing the Gaussian Elimination method. 24