If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the parametric equation of the line is: a. X=5+ 6A, Y= 1+ 7A, Z= 7+2A b. X=-5+ 6A, Y= -l1+ 7\, Z= -7+2A O c. X=-5-6A, Y=-1-7A, Z= -7-2A O d. X-5-6A, Y=1-7A, Z= 7-2A

If a line is parallel to the vector 6?+6?+9?6i+6j+9k and passes through the point ?=(3,2,1)P=(3,2,1), then the parametric equation of the line is :   a. X=3+ 6λ, Y= 2+ 6λ, Z= 1+9λ b. X=-3-6λ, Y=- 2- 6λ, Z= -1-9λ c. X=3-6λ, Y= 2- 6λ, Z= 1-9λ d. X=-3+ 6λ, Y= -2+ 6λ, Z= -1+9λ

5. Find the parametric equations of the line through A (-1, 2, 3) and B (2, 2, -3). Hence find where this line meets the plane with equation: х — 2у+ 3z 3 26

1. Given the points P(3, 7, -5), Q(4, -9, 0) and R(6, 9, -4), determine each of the following equations and write your final answers below in the specified form. a) the equation of the line through P and Q. b) the equation of the plane through P, Q, & R. [vector] [parametric] [vector] [symmetric] [Cartesian/Scalar]