Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the point P(-3, 1, 7).

Q: Find the vector parametric equations for the line. in the direction of the vector – i+ 5j-3 k and…

A: equation of line in vector parametric form

Q: 90. a. Determine the vector and parametric equations of the plane that passes through the points…

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Q: Find parametric equations for the line described below. The line through the point P(-3, -4, -2)…

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Q: 6. Find the vector, parametric and scalar equations of the plane that contains the points A(-1,2,5)…

A: The points are A(-1, 2, 5) B(3, 2, 4) and C(-2, -3, 6) AB→=324--125=20-1AC→=-2-36--125=-3-51 The…

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

A: A plane is a two dimensional surface which is spanned by two linearly independent vectors.

Q: Find the vector and parametric equations for the line through the point P(-5, -3, -4) and the point…

A: Given: P(-5,-3,-4) and Q(-2,2,-5) To find the vector r(t) and the parametric equations for x(t),…

Q: 1. Determine vector and parametric equations of the plane that contains the points A(1, 2, -1), B(2,…

A: Since you have posted multiple questions. we will solve first question only due to the bartleby…

Q: Find the parametric form of the equation of the line passing through the point Po(-2,-1,3) and…

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Q: a) Write parametric equations for the plane in Rº that passes through the point (2, 3, 1) and is…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

Q: (a) Find a vector parallel to the line of intersection of the planes 4x + 3y – 2z = -5 and -5x + y –…

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Q: Write the line L(t) through p = (5,-5,0) in the direction of v = (0,-3,3) in vector parametric form

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Q: Find the standard form equation (using variables T, y, 2) of the plane P through the points…

A: When a plane passes through 3 points, then equation of the plane is given by-…

Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +…

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Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

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Q: The equation of a plane n ·〈x, y,z〉= d is said to be in normal form if n is a unit vector. Show that…

A: Given :           The equation of a plane n . <x, y, z> = d is said to be in normal form if n…

Q: Show clear and detailed solutions Provide the parametric and symmetric equations of the line that…

A: Let the direction ratio of required line is  l , m and n

Q: Determine vector and parametric equations for the line through the point (2, 1) and parallel to the…

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Q: a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3…

A: Here we will find all equations,

Q: 5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b)…

A: topic - equation of line through two points

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

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: 4. (a) Find a parametric equation and symmetric equation of the line that pases through the point…

A: We have a point P(2,-1,3) and a vector  i^+2j^-3k^ We have to find a parametric equation and…

Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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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: 7. Find the vector and parametric equations of the plane that is parallel to the yz-plane and…

A: W e have to find the equation of plane.

Q: Find a parametric equation and symmetric equation of the line that pases through the point (2, -1,3)…

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Q: Determine the parametric equations of the plane containing the point (1, -5, 9) and the line [x, y,…

A: I am going to calculate the parametric equations of the plane containing point (1,-5,9) and the line…

Q: Find the general form equation of the plane through the origin and perpendicular to the vector (4,…

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Q: Find parametric equations for the line through p (2,3,0) and perpen-dicular to the vectors u =(1,…

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Q: Consider the line which passes through (1,-2,-2) and (2,0,1) (a) Write a vector equation, a…

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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: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…

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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: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: Find parametric equations for the line described below. The line through the point P(2, 3, 3)…

A: To find the parameter equation of the line passing through point P(2, 3, 3) parallel to the vector…

Q: snip1

A: The given point is, P=1,2,-1 which is parallel to the vector d=5-13. The objective is to find the…

Q: 8. Time to explain: a) why does the vector equation of a plane have two parameters, while the vector…

A: Part (a) A line is a defined in one dimension, whereas, a plane is defined in 2 dimensions. So, for…

Q: Consider the points A(2, -1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations…

A: We will use vector properties and equations of line and plane to solve all part  Note : I have…

Q: Find the equation of a plane that is perpendicular to the vector 2i+4j−3k and passing through the…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, −1,…

A: Find a  vector equation and parametric equation for the line joining P and QP (1,-1,5) and Q (5,2,1)

Q: A) find a vector parallel to the line of intersection of the planes -3x - 2y - 2z = -1 and -4x - 2y…

A: Equation of line of intersection

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

A: P=(0,0,0) , u=212 and v=-321we have to find the equation of the plane passing through P with…

Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

Q: Find the equation for the plane through the point Po = (8,4,8) and normal to the vector n=2i + 2j +…

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