Determine if the following lines intersect. If they do, determine the co the point of intersection. [ [x, y, z]= [1, 0, -1] + t[0, 2, -3] [x, y, z]= [3, -2, 2]+s[-1, -2,0]

Q: . Determine the corresponding Cartesian equation. [ L1: = [4,-3, 5] + t[2, 0,3], t € R and L2: 7 =…

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Q: Determine the relationship between the given pair of lines: (x,y,z)= (2,2,−3) + s(1,−3,3) (x,y,z)=…

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: 2. For the following pair of equations, determine if they represent the same, parallel, or different…

A: The equation of the first line L1 is r=1, 0, 3+s3, -6, 3 and the second line L2 is r=2, -2, 5+t2,…

Q: Let F(t) = (6, 8, 4) + (4, 5, 5)t + and 3(t) = (-3, 6, -2) + (-2,- 5, 2) t. Find the acute angle…

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Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: et L₁ be the line passing through the points Q₁(-5, 2,-5) and Q₂(-14, -7, 1) and let L₂ be the line…

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Q: V4-x² x2+y2 4-x² x²+y² xdzdydx + ædzdydx V1-x² 0,

A: The given integral is∫01∫1-x24-x2∫0x2+y2xdzdydx+∫12∫04-x2∫0x2+y2xdzdydxWe have to convert integral…

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: Determine if the following lines intersect. If they do, determine the coordinates of the point of…

A: Given equation of lines are [x,y,z]=[11,0,-17]+t[4,-1,-6] and [x,y,z]=[6, 5, -14]+s[-1, 1, 3]   To…

Q: 1) Establish two linear functions shown below and find X and Y coordinate of the intercept P of two…

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Q: 4. Given that A(1, 1, – 3), B(5, 4, – 1) and C(2, – 1, – 5) are three points in the 3-dimensional…

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Q: Find the equation of the line L that passes throught point P(3, 8, - 1) and Q( – 7, – 5, 8). | r(t)…

A: Given points:              P(3, 8,-1) and Q(-7,-5, 8) Let p¯ and q¯ be the position vectors of P and…