Find an equation of the plane. The plane through the point (1, 7, 2) and with normal vector 4i + j – k

Q: Find equations for the planes The plane through A(1, -2, 1) perpendicular to the vector from the…

A: The normal vector of the plane is given by A(1,-2,1)  The point of passing is (0,0,0). The equation…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: Find a vector parametrization of the line through P = (3, –8, 5) in the direction v = (-2, 0, 3)…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: nd an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given point P(2,6,-9) i.e. x1=2, y1=6 and z1=-9Given vector is n=j i.e. c=1We know that equation of…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. N

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Q: Find the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Let A(1, 2, 1), B(3, 1, 2) and C(2, 1, 2) be points in R³. a) Find the point-normal form of the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 2. A plane is defined by the equation 2x - 5y = 0. a. What is a normal vector to this plane? b.…

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Q: Derive a parametric representation and find a normal vector for the plane 6x – 2y + 10z = 16. NOTE:…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: The equation of the plane P which is normal to the vector n and passes through the point R is given…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given: (2,3,-6) Perpendicular to j vector

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Topic = Geometry

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Q21 ) Find the equation of the plane passes through the point P(1, 2, 3) and parallel to the…

A: Here given vectors as

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that contains the point (-1, 2, 3) and is perpendicular to the line…

A: The plane is perpendicular to the line, then the direction vector of the line is normal to the…

Q: (c) Find the vector equation of the line of intersection of the planes x-2y+z=0 and x+y=z= 1.

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Q: Let N = i − j + k. (a) What is the equation of the plane P containing (0, 0, 0) with normal vector…

A: a) The given normal vector N is 1,-1,1. The equation of plane is Ax-x1+By-y1+Cz-z1=0. Substitute the…

Q: Find the equation of the plane passes through the point P(4,2,1) and perpendicular to the vector…

A: Equation of the plane passing through point P(x0,y0,z0) on the plane and perpendicular to the vector…

Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find:   a) the parametric equation of the line determined by points A(1,0,2) and B(2.2.1). b) the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find parametric equations for the lines in The line through (2, 3, 0) perpendicular to the vectors u…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Explanation of the answer is as follows

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

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Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: (a) Find a vector n perpendicular to the plane z = 8x + 9y. (b) Find a vector v parallel to the…

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Q: write the equation of the plane passing through P with normal vector n in (a) normal form and (b)…

A: The normal form of the equation of a plane P in ℝ3 is  n.x-p = 0  or  n.x = n.p where p is a…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the equation of the plane containing P and orthogonal to the line r(t). Write your answer in…

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Q: Find the distance of point A(2/3,2) from the line that passes through the origin and parallel to the…

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Q: Find an equation of the plane passing through the given point and perpendicular to the given vector.…

A: Equation of a plane perpendicular to a, b, c and passing through x0, y0, z0 is, ax-x0+by-y0+cz-z0=0