2. Find the equation of plane which passes through the point (1,2, –3) and the vector i – 2j + 3k is normal to it

Find the equation for the plane through the point Po = (0,4, -1) and normal to the vector n = 2i - 7j - k. Choose the correct answer below. OA. 2x-7y-z=0 B. 2x - 7(y + 4)-(z-1)=0 C. (x + 2) + 4(y-7)-1(z-1) = -27 O D. 2x-7y-z = -27

Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R = (0, 1, -1) 8 0-0-0- y = + S 8 Z -4 -6 + t

Find the parametric and symmetric equations of the line that passes through the point P(3, 0, -2) and is parallel to the vector v = 2i – j + 3k.