Find the general equation of the plane which goes through the point (3,1,0) and is perpendicular to the vector < 1, −1, 2 >

Q: Find the equation of the plane that is parallel to the vectors (1,0,1) and (0,1,1), passing through…

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Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j…

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Q: ASAP: find the equation of the plane that is parallel to the vectors (3,0,1) and (0,2,1) passing…

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Q: The scalar equation of the plane with normal vector [4, -1, 9] and passing through the point (2, -1,…

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

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Q: How would I solve this? Find an equation of the plane that passes through the given point and is…

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Q: Use the vectors u = (1,-3,5) and v=(2,1,-3) to Find 1 the area of the parallelogram determined by u…

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Q: Find two unit vectors that are normal to the plane determined by the points A (0, –1, 2),B (1,…

A: To find the two-unit vectors that are normal to the plane determine by the given points.

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

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Q: Find the equation of the plane that is parallel to the vectors (1,0,2) and (0,1,1), passing through…

A: Sol Given                   Parallel to the vectors  &lt;0,1,2&gt; &amp;&lt; 0,1,1&gt;…

Q: 2. Find the vector, parametric and cartesian equation of a plane that contains the points А(-1,0,…

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Q: Find the equation of a plane that is perpendicular to the vector 3 i - 4j+ 5k and passing through…

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Q: 3. Find a vector equation for the line through (2, 7, −3) that is orthogonal to the plane 3x + y −4z…

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Q: 13. Find an equation of the plane through the point (1,2,3) and perpendicular to the vector…

A: Given a point P( x, y, z) and a vector (a, b, c) which is perpendicular to the given plane

Q: Suppose that a plane contains the points (5, 0, 0) and (0, 3, 1) and the line with the vector…

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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: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…

A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

Q: Find the equation of the plane through the point (-3,2, 0) and perpendicular to the vector (1,-2,5).

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the vector and cartesian equation of the plane that passes through the points A(−3, −2,0),…

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Q: Determine the Cartesian Equation of a plane that has a normal vector (6,-5,12) and passes through…

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

Q: Find the equation of the plane that is parallel to the vectors 3,0,1 and 0,1,2​, passing through the…

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Q: 2 The equation of the plane passing through the origin and containing the vectors -1 and has…

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Q: Find two unit vectors that are normal to the plane determined by the points A (0, -1, 2),B…

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Q: The scalar equation of the plane with normal vector [4, -1, 9] and passing through the point (2, -1,…

A: The scalar equation of the plane with normal vector [4, -1, 9] and passing through the point (2, -1,…

Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

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

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Q: Find the equation of the plane that is parallel to the vectors (2,0,2) and (0,1,3), passing through…

A: Solution: The objective is to find the equation of the plane that is parallel to the given vectors…

Q: Find the equation of the plane that is parallel to the vectors (3,0,2) and (0,1,2), passing through…

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Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Find the vector equation of the line (a) through the point (1, −5) and parallel to the x-axis; (b)…

A: As per our guideline we are allowed to do 1 question and 3 subparts at a time. Please post other…

Q: Determine the general equation of the plane that passes through the point P (-1,1,0) and that has a…

A: Plane passing through the point P-1, 1, 0 and has a normal vector n=2, 0, -4.

Q: The scalar equation of the plane with normal vector [4, -1, 9] and passing through the point (2, -1,…

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Q: Find parametric (or vector) and symmetric equations of the line which pass through the points P,…

A: P11, 4, 6 &amp; P22, -1, 3. Vector equation of a line passing through two points with position…

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

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Q: the points (1, 2, 1) and (2, 1, 4), and parallel to the x-axis 6. Determine the Cartesian equation…

A: Given line r→=(3,7,1)+t(2,2,3).t∈R. The objective is to determine the Cartesian equation of the…

Q: Find the linear equation of the plane through the point(1,2,3) and contains the line represented by…

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Q: Find the equation for the plane through the point Po = (2,7,6) and normal to the vector n= 3i + 5j +…

A: Given:-normal, n=3i+5j+6kpoint on the plane, P0=2, 7, 6let (x, y , z) on the plane vector (x-2)i+…

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 an equation of the plane parallel to the liner= and containing the points (2, 2,-1) and (1, 0,…

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Q: I’ve gotten this far already. I need help finding a non-zero vector that is orthogonal to both…

A: Two vectors are said to be orthogonal to each other if their dot product is zero. we need to find a…

Q: Determine an equation (in variables x, y, z) for the plane through the point (8, 1, 4), and with…

A: GIVEN- EQUATION OF PLANE PASSING THROUGH THE POINT (8,1,4) AND WITH VECTOR (-2,6,-2) TO FIND-…

Q: Find vector and parametric equations of the plane that contains the point P = (-3,1,0) and is…

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Q: Find the equation of the plane through the point (-3,2,0) and perpendicular to the vector (1, -2,5).…

A: Questions from vector calculus.

Q: The equation of plane through (3,-1,7) and perpendicular to the vector (4,2,-5) is 4x + 2y5z-25 = 0.…

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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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Q: Find an equation of the plane that passes through the point P(-7,-2,5) and has the vector n = (-7,4,…

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Q: Find an equation of a plane passing through the given point and perpendicular to the given vector.…

A: The equation of the plane perpendicular to the vector &lt;a, b, c&gt; is: ax+by+cz+d=0 Therefore,…

Q: Find an equation of the plane that passes through (4,-1,2) and has a normal vector perpendicular to…

A: Given An equation of the plane that passes through (4,-1,2) and has a normal vector perpendicular to…