In vector form (as in Exercises 5 and 6), find an equation for the line through the point (4, – 3, 7) and with direction vector (4, 2, – 3).

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A: According to the vector midpoint formula: Where 'c' is the midpoint position vector of vector 'a'…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find b.…

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Q: Let E = 5x°a – 15x²yay , and find : (a) - the equation of the streamline that passes through P(4, 2,…

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Q: write the equation of the plane passingthrough P with direction vectors u and v in (a) vector form…

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Q: Give the equation of the line in vector form, parametric form and symmetric form. The line through…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given that : P = ( 1, 0 ) and d = -13 .

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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: Which of the following equations correctly expresses the relation between vectors A, B, and C shown…

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Q: In Exercises 21 and 22, find the equation of the line containing the given points in slope–intercept…

A: Given, P(0,5), Q(2,-1) slope of line between this point m=-1-52-0=-3 equation of line is…

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Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A. B. 2 C. D.…

A: Given graphs  1) vector that maps  triangle ABC has vertices A(3,-1),B(7,-3),C(1,-6) to its image…

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

A: Question is solved.

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: Use vector methods to find the position vectors of the points of intersection of the following pairs…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A: Topic = Geometry

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: Determine the vector equation of a line that is perpendicular to the line, p = |-4, 4, 9 + t|-1, 3,…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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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: га- Find an equation that describes all values of a, b, and c for which the vector w = |b| is NOT a…

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Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

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Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A . 2 B. C. 2 A4…

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Q: a) The line y =- 5x + 9, in VECTOR form (R?).

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Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

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Q: Let / be the line through the point with coordinates (1,0,0) in the direction of the vector -2 .…

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Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

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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 the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel…

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