Consider the following line and plane equations in three-dimensional space:Line L: r = \ $$ r_0 \ + \ $$ t_d where $$ r_0 = (1,2,3) and d = (4,-1,2) Plane P: 3x-2y+z=5 Which of the following statements is true regarding the intersection of the line L and the plane P?(C:1)Single choice

A

a. The line L is parallel to the plane P and does not intersect it.

B

b. The line L intersects the plane P at a point, which can be found by substituting the parametric equations of the line into the plane equation.

C

c. The line L and the plane P do not intersect because their normal vectors are orthogonal.

D

d. The line L lies entirely within the plane P.

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