Let P. Q and R have coordinates P(1,1,2). Q(1,0,0) and R(2, 1,0). (a) The line I through P and Q has vector form OP+ tv, enter the coordinates of a suitable vector v (b) Enter the coordinates of a vector that is perpendicular to the plane PQR (e) Enter the equation of the plane PQR BR (d) Find the inek through 7(0,0,1) that is perpendicular to this plane Enter the coordinates of the point where the line k intersects the plane PQR necessary actions rather than decimals in your answer

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

Q: Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line…

A: Solution : Given that the lines l1 : 4,4,-3+t2,1,-1l2 : -2,-7,2+s3,2,-3

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Q: A particle moves at constant speed 1445 units along the curve of intersection of the two the two…

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Q: B 10. Write a vector equation and parametric equations for a plane that satisfies each set of…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

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Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

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Q: Let / denote the line in R with equation y = = 3x - 2. Let Q = (2, -1). (a) Write the line / in…

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Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

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Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…

Q: 3. A plane contains A(1, -3, 2), B(-2, 4, 2) and C(3, 2, 1). (a) Determine the vector equation of…

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