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![Write the equation of the plane passing through P with normal vector n in normal form and general form.
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81
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0
P = (0, 1, 0), n =
(a) normal form
(b) general form](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6948d5d-782c-4f32-af22-abf47b4c3397%2Fb2372df3-473f-4817-a175-fd2a1fc9aea4%2Fb5w052w_processed.jpeg&w=3840&q=75)
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- Find the linear equation of the plane through the point (6,−2,5) and with normal vector j+2k. Equation:find normal vector/equation of a plane containing a point and parallel to a line containing that pointGive an equation of the plane with a normal vector n = ⟨1, 1, 1⟩ that passes through the point (1, 0, 0).
- Find the linear equation of the plane through the point (2, −2, 6) and with normal vector j+2k.Find an equation of the plane through (1, −3, 5) with normal vector n =〈2, 1, −4〉.Find an equation of the plane that passes through (4,-1,2) and has a normal vector perpendicular to both ⟨ 3 , 1 , 1 ⟩ and ⟨ 5 , − 2 , 0 ⟩ . Simplify to general form.
- Where does the line that passes through the point (1,0,2) in the direction of the vector <2,-1,4> intersect the xy-plane?Determine the scalar equation of a plane through the point (3, 0, 4) and having normal vector n= (2, -1, 4).Write down the equations of any two distinct planes with normal vector n = 〈3, 2, 1〉that do not pass through the origin.
- Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7, 6, 4) as a normal.example of a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0Find the equation of the plane in xyz-space through the point P=(2,5,5) and perpendicular to the vector n=(1,−4,−5).