5z' + 3z gral z² - 4 plane, is
Q: Write down the equations of any two distinct planes with normal vector n = 〈3, 2, 1〉that do not pass…
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Q: 436. The plane that passes through point (4, 7, -1) and has normal vector n= (3, 4, 2)
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Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.
A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…
Q: ) Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.
A: Given problem:- Find the vector that parallel to the intersection line of two planes 2x + y - 3z = 2…
Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.
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Q: Find a nonzero vector parallel to the line of intersection of the two planes 2y 5x - 3x = -5 and 5y…
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Q: 15. Perpendicular to the plane x + 3y – z-7=0 and containing the points (2,0, 5) and (0, 2, -
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Q: 1. Get center point of homo geneu us plane limited by 9) y =4- x2 and x axis
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…
Q: Find the equation of the plane in xyz-space through the point P=(2,5,5) and perpendicular to the…
A: Given: The point on the plane is P= (2, 5, 5). The plane is perpendicular to the vector n= (1, -4,…
Q: 9. Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…
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Q: State the equstion of the yz plane
A: We have to find equation of yz plane
Q: Determine the equation of the plane containing the points (3, 1, 4) and (2,7, 1) and is perpen-…
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Q: Find a unit vector n that is normal to the surface 2z^2−x^4−y^4=1 at P=(1,2,3) that points in the…
A: We have
Q: Find an equation of the plane passing through (0,-2,3) that is orthogonal to the planes 2x+ 2y-5z 0…
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Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…
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Q: .Calculate the dstance between tve point (3, -2) and the plane Z Xty-2+1=0.
A: The distance between the point (a, b, c) and the plane Ax+By+Cz+D=0 is given by,
Q: Find an equation of the plane through the point (4, 5, 1) and with normal vector 6i + j - k. Show…
A: The plane passing through a point A(a) with the normal vector n is given by: r·n=a·n where,…
Q: Find all point cs) 2= 8- 3x2- 2y2 マh where the fameyent plane orlhugana l i's to とk 2ihe. X 2-31,…
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Q: The vector (3, -1, 2) is parallel to the plane 6x – 2y + 4z = 1. - %3D
A: Use formula to calculate equation of plane
Q: Find a vector of length 2 orthogonal to the plane 3x – 4z = 5. %3D
A: Here we have to find the vector of length =2 and orthogonal to the plane 3x - 4z = 5 Let the vector…
Q: The normal line to the surface x² + 2y² + ² = 25 at the point (1, -2, 4) is parallel to the vector O…
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Q: The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are…
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Q: Find an equation of the plane. The plane through the point (6, 1, 5) and with normal vector 5i + j -…
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Q: Find the distance between the point (0,0, 8) and the plane given by 2x – y + 2z – 1 = 0.
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Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).
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Q: Write the equation of the plane with normal vector n passing through point Po in the scalar form ax…
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Q: The vector parallel to intersection line of the two planes 4x-y+z=2 and 2x+y- 2z=3 is: *
A: Plan 1: 4x-y+z=2 Plan 2: 2x+y+2z=3
Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.
A: Straight lines in spherical plane are the great circles. So, any two different lines meets at two…
Q: Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.
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Q: Derermine the pointof intersection of the linel:- [-6,9,-1]+t[-a,3 ,1], t ER, and the plane, TT-x +…
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Q: Give the general equation of the plane satisfying the given condition. plane Σ containing the point…
A: We will find the equation of the plane Σ which is parallel to the plain 2x − 6y + 3z = 0 and…
Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?
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Q: 2) Find the vector from the origin to the center of the sphere 2x2 + 2y2 + 2z2 + 4x – 4z = 0.
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Q: Find an equation of the plane. The plane through the point (9, 3, 4) and with normal vector 8i + j…
A: To find- equation of the plane.
Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…
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Q: 5. Verify that its possible for a line with direction vector J=(2,1,-2) to lie flat on a plane with…
A: The vector equation of a plane is given by the expression . Here, and are the vectors that lie on…
Q: 5. What are the coordinates of the centroid of triangle FGH: F(6,-1), G(12,4), H(15,-2)?
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Q: Find an equation of the plane. The plane through the point (4, 8, 6) and with normal vector 7i + j -…
A: Given, The plane passing through the point (4,8,6) with the normal vector 7i+j-k We know that, The…
Q: Find the equation of the plane in xyz-space through the point P = (5, 4, 3) and perpendicular to the…
A: NOTE: Refresh your page if you can't see any equations. . the normal vector is . the given point…
Q: intersection of the paraboloid z=x^2+5y^2 and the plane x=3. At what rate is z changing with y when…
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Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…
A: We have to find an equation of the plane passing through the point (1, -4, 3) and parallel to the…
Q: Sketch planeglven by Iz-31 = 1Z + lomplen the Cunve in the |ス-3| - |N+3i| 2. 2. 2. =フナ
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Q: Find a parametrization for the ray (half line) with initial point (-4,3) that passes through the…
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Q: 2) Find the vector from the origin to the center of the sphere 2x² + 2y² + 2z2 + 4x - 4z = 0.
A: The equation of the sphere is, 2x² + 2y² + 2z² + 4x - 4z = 0 So, x² + y² + z² + 2x - 2z = 0 So, (x²…
Q: 3) Explain why the Cartesian equation 2x– 5y+ 3z = 2 does not describe the plane with normal vector…
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Q: Find the equation of the plane in xyz-space through the point P=(3,3,2) and perpendicular to the…
A: topic - equation of a plane
Q: Find two orthogonal vectors in the plane x + y + 2z = 0. Make them orthonormal.
A: Concept: A branch of mathematics which deals with symbols and the rules for manipulating those…
Q: 2) Find the vector from the origin to the center of the sphere 2x2 + 2y² + 2z2 + 4x – 4z = 0. |
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Q: What are the projections of the point (3,−2,−7)(3,−2,−7) on the coordinate planes? on the xy plane?…
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