Just wondering if my answer is correct. Any explantion of why it isnt or any critique if it is would be helpful thanks . A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as anormal, where r is a real number.(a) Determine the equation of the plane in terms of r.[3] 1The equation of the plane is x. n = p.n.where x = (x, y, z), p = (-1, 0, 1) and n = (1,4,3)So the equation of the plane is(x, z) · (1,4,5) = (·

Question

Just wondering if my answer is correct.  Any explantion of why it isnt or any critique if it is would be helpful thanks . A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as anormal, where r is a real number.(a) Determine the equation of the plane in terms of r.[3] 1The equation of the plane is x. n = p.n.where x = (x, y, z), p = (-1, 0, 1) and n = (1,4,3)So the equation of the plane is(x, z) · (1,4,5) = (·<, 0, 1) · (1,4.3.)A1x + ty- 31₂ = x + 1 +0x x + 1 x 3 rHy1x + 4y - 3 r₂ = -8 +0 + 3 x = 2+x+4y-3c₂Sox + 4y - 3r₂ = 2r4

Accepted Answer

Step 1: Step 2: Step 3: Step 4: