Find the symmetric and parametric equations of  the line passing through (5,-2, 3) and is perpendicular to the plane 3y+2z=8

Q: Find a parametric equation of the line passing through the point (3,-1,-3) and perpendicular to the…

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Q: Find an equation of a plane making an angle of π/2 with the plane 3x + y − 4z = 2

A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

Q: 4. Find parametric equations of a line passing through (1, 2, 3) that is parallel to the plane…

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Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (5,…

A: The direction ratios  of lines perpendicular to the yz-plane are 1,0,0 We obtain the equation of…

Q: Find parametric equations for the line going through (5, 4, 6) and is perpendicular to the plane x −…

A: Here, By substituting the values of r0 and v in vector equation,

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

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

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

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Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x - 5y…

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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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: Find parametric equation of the line passing through point (4,2) and parallel to vector 7 = -i+5j.

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector…

Q: 7. Find the distance between the point (- 3, 2, 1) and the plane with equation x - 2y + 3z = 5

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Q: Find an equation of the plane. The plane through the point (5, -3, -3) and parallel to the plane 4x…

A: We can use the concept of plane in order to solve the given problem.

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

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Q: Find an equation of the plane that is parallel to the y-z plane and that passes through the point…

A: NOTE: Refresh your page if you can't see any equations. . the equation of any plane parallel to the…

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: Find the distance from the point (-3, 4, -1) to the plane 5x−4y−5z=−3.

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Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-3,…

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Q: The equation of plane through the origin and parallel to the plane 2x +5y-4z = 8 is 2x + 5y- 4z = 0.

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Q: Find parametric equations for the lines with the given description. Parallel to the line through (1,…

A: Consider the given points 1,1,0 and 0,-1,-2 Passes through the point 0,0,4

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

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Q: Find the parametric equation and symmetric equations for the line passing through the points (2, –2,…

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Q: Find parametric equations for the lines in The line through P(-2, 0, 3) and Q(3, 5, -2)

A: To find the parametric equation for PQ

Q: Find parametric equations for the line described below. The line through the point P(7, -4, 0) and…

A: NOTE: Refresh your page if you can't see any equations. . the given plane is  the normal vector is…

Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

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

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: Line 1: 1 - y = Z – 8 2 х — 3 4 Line 2: x=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A: To find the given questions when two lines Line1 and Line2 are given :-

Q: Find a set of parametric equations and symmetric equations of the line ` con- taining the point P(1,…

A: Given Point is (1,-2,3) And Plan is : 2x-y+3z=6

Q: Determine the general equation of plane I passing through the point (-4, 3,-1) and parallel to the…

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Q: Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and…

A: Given information: The plane passes through the points (1, 2, 3) and (3 , 2, 1) and perpendicular to…

Q: find the distance from the point (2,2,3) to the plane 2x+2y+2z=4

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Q: 4- Find parametric and symmetric equations of the line passing through the points (1,- 1,2) and…

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Q: Find the parametric and symmetric equations for a line that passed through the points (2,0,8) and…

A: Representing the points as the points vectors we get,  2,0,8 and -2,6,4 The direction numbers are…

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

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Q: Find an equation of the plane. The plane through the point  (8, −3, −3)  and parallel to the plane…

A: We know that two parallel planes have same direction ratios(i.e. the coefficients of x,y and z…

Q: Find an equation of the plane. The plane through the point (9, -8, -6) and parallel to the plane 7x…

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Q: 5. Find the parametric equations of the line through A (-1, 2, 3) and B (2, 2, -3). Hence find where…

A: The set of parametric equations of a line passing through the points (x1,y1,z1) and (x2,y2,z2) are…

Q: Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line…

A: The required line is passing through the point 3,-1,-3 and is perpendicular to 3,-2,4 and 0,3,5.…

Q: Write the equation of the plane passing through point (3, 8, 3)| that is parallel to the xz- plane..

A: Given: A plane passes through (3, 8, 3) and is parallel to the xz-plane. To Find: Equation of plane

Q: Find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5 Thank you.

A: To find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5

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

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Q: Equation of the plane passing through the point (3, –2, 5) and parallel to yz-plane is

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A: Given : Equation of plane is y+3x-6z=8i.e. 3x+y-6z=8   To Find : Parametric and symmetric equation…

Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: Find the general equation of the plane through the point (3, 2, 5) that is parallel to the plane…

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Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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Q: Find an equation of a plane through the point (-2, 1, 5) which is orthogonal to the line 2= -3- 3t,…

A: The director vector of the line is (-3, -4, -3). Given that the plane is orthogonal to the line. So…