2. Given R(7,2,4), S(1,–1,0) and T (2,4,7) are points on a plane and n is a normal vector to plane RST as shown in the figure below. Find an equation of plane RST that passes through point R. R

Q: Find the normal vector to the plane that contains the point (1, 1, 3) and the line r(t)=(0,1,…

A: Let P be the point 1,1,3.Q be the point 0,1,2 on the line.Then, PQ→ = 0-1,1-1,2-3=-1,0,-1And the…

Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

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Q: Plane passing through point P0 (1, 2, 1) and perpendicular to vector (1, -1, 2) Find the equation…

A: Given:  Plane D1 : passing point P0(1, 2, 1)                 perpendicular vector (1, -1, 2) Plane…

Q: Let A= (-1,3,3) B= (4,-1,0) C= (5,4,-7) D= (2,-1,-1) i) the normal vector to the plane ABC. ii) the…

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Q: Let P be the like (-1,0,2) . Consider the plane that goes through the points A=(3,4,-1), B=(1,-3,3)…

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Q: 8) The point A(1,2,2) is a point on the plane with normal vector n= (-1,2,6) Determine the Cartesian…

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Q: The plane with normal vector (6,-5, 1) containing the point (0,-2,3) has equation Ax+By+Cz = D. If…

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Q: that Let P be the point (1,0,2). Consider the plane through the points A= (3,4,-1), B= (1,-3,3) and…

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Q: 3.Vector (3, −7, 5) is normal to a plane P and point (0, 0, −2) is in the plane. Provide equation of…

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Q: 2. (6 marks) Find the vector equation of a plane a) Passing through the point A(-1, 2, -3) and…

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Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax + By + Cz = D.…

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Q: Determine the equation of the plane with a point 'a' and the normal vector 'n': a = (−1, 2, −3)t ,…

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Q: A circle can be drawn through the following three points P1=(-1, 2, 1), P2=(2, 2, 4). and P3=(-1, 1,…

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Q: 4. Determine a vector equation for the plane that is parallel to the xy -plane and passes through…

A: Due to our answering guidelines we can only answer one question at a time, therefore I will be…

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

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Q: Write the equation of the plane passing through P with normal vector n in normal form and general…

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Q: Given the points A(3,-1,1), B(2,3,4) and C(4,1,1). (a) Find a unit vector that is simultanously…

A: Concept: A plane going through three non-collinear points has the following equation: Vectors and…

Q: Problem. Tony and Sasha showed that the plane E spanned by A = B = (1,2, 5) has a vector equation…

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Q: Solve the initial value problem below using the method of Laplace transforms. - 4t y" - 16y = 16t –…

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Q: 2. Let v be a vector parallel to a line that passing through the points P(1,0,-3) and Q(3,3,-3). a.…

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