Find an equation of the plane. the plane through the point (5, 6, 5) and with normal vector 6i + 8j + 8k

Q: Write the equation for the plane. The plane passing through the points (1,2,6), (- 1,4,0), and…

A: Finding the equation of plane

Q: Consider the points A = (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6). a. Compute the vectors v =BA and w…

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Q: Find the equation of a plane that is perpendicular to the vector 4 i + 2 j - 2 k and passing through…

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Q: Find the vector, parametric, and symmetric equations of the line which passes through the points A =…

A: Given points are: A=3,1,-1 and B=7,0,1 To find the vector, parametric, and symmetric equations

Q: Consider the points below. P(0, -2, 0), Q(6, 1, -2), R(7, 2, 1) (a) Find a nonzero vector orthogonal…

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Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal…

A: We need to solve plane problem.

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…

A: Given that  required plane passes through point ( 7, 6 , 6 )  and perpendicular to the vector having…

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

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: Let A = and B = , P = (9, 8, 7) b. find an equation for the plane containing A and B, passing…

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Q: please help me with this exercise

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Q: Consider the points below. P(0, -4,0), Q(6, 1, -2), R(5, 2, 1) (a) Find a nonzero vector orthogonal…

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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: |Consider the points A (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6). a. Compute the vectors v =BA and w=…

A: Use cross product of vector

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 r1=x1i+y1j+z1k, r2=x2i+y2j+z2k and r3=x3i+y3j+z3k be the position vectors of points…

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Q: The points A, B, C and D form a parallelogram. The points A, B and C have position vectors 2i –…

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

A: We have to find the equation of plane.

Q: (a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, −1), and…

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Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the…

A: We have to find the normal vectors of the given planes.

Q: (a) Find a nonzero vector orthogonal to the plane through the points P(0,- 2, 0), Q(4, 1, – 2), and…

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Q: Consider the points A(2, 1,0), B(3,1,0), C'(0,4,0). 1. Find the equation of the plane that contains…

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Q: please help me with this exercise

A: Given points are P(0, -3, 0), Q(6, 1, -2), R(6, 2, 1)

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

A: Question is solved.

Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector…

A: We have to find the normal vectors of the given planes.

Q: Find an equation for the plane through the point P = (-4, 6, -3) which is perpendicular to the…

A: Topic- equation of plane

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, 3, 3), B(4,-1, 0), C(5, 4, -7), and D(2,-1, -1). Find i. the normal vector to the plane…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: (a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, –1), and…

A: Cross product of any two vectors gives a vector which is perpendicular to the both the given vector…

Q: Find an equation for the plane through the point P = (6, 3, –3) which is perpendicular to the vector…

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Q: Consider the points below. Р(3, -2, 5), Q(-1, -2, 1), R(2, 1, -3) (a) Find a nonzero vector…

A: Given :   P(3,-2,5) Q(-1,-2,1) R(2,1,-3)

Q: Given the points P = (2,3,4), Q = (4,–1,5) and R = (-2,5,6) : a. Find a parametric or vector…

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Q: The plane through the point A(2, 10, 8) perpendicular to the vector from the origin to A.

A: The plane is passing through the point A(2, 10, 8) and it is perpendicular to the vector from origin…

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

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Q: a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and b. find the…

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Q: b) Find parametric equations of the plane (P) containing the point P(1,-2, 0) and the vectors û and…

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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: Given the points P = (2,3, 4), Q = (4,–1,5) and R = (-2,5,6) : a. Find a parametric or vector…

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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: Consider the points below. P(2, 0, 2), Q(-2, 1, 4), R(5, 2, 6) (a) Find a nonzero vector orthogonal…

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Q: (a) Find a vector perpendicular to the plane that contains the points  P(1, 0, 0), Q(2, 0, −1),…

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Q: (a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, -1), and…

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Q: An equation of the plane passing through the points A(-1;2; 0), B(0; 1; 2) and C(1; –1;0) is:

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Q: A:-Find parametric equations for the lines, the line through (4, 7, 1) perpendicular to the vectors…

A: I am attaching image so that you understand each and every step.