6) Consider the plane P: z+y-2:= 0 in R³ that contains the point P₁(1, 1, 1). Answer the following questions: 1 6.1) Write down the parametric equations of the straight line L that contains P₁ and is perpendicular to P. A 6.2) Find the equation of the plane P' that is at distance 1 from P, is parallel to P and lies above P.

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Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

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A: THE GIVEN LINE IS, x=y=z WE CAN REWRITE IT AS, x-01=y-01=z-01 SO, THE DIRECTION RATIOS FOR THE LINE…

Q: (a) The following figure represents line L. i) ii) iii) Find r, of line L. Ans: r.-(0,4) or (2.0) A…

A: Note:-ince you asked multiple questions, according to our policy we can solve only the first…

Q: 3.) the a. Find the distance between point and the line given by the set of parametric equations. (…

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Q: The diagram shows rectangular box ABCDEFGH, with A = (2, 3, 1), G = (10, 7, 5), and edges parallel…

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