ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u + (16, 23, 11). || || ||

Q: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: Let r¡(t) = (-4,0, –5) + t(0, 1, –3) and r2(s) = (2, –2, 10) + s(2,0, 3). Find the point of…

A:

Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

A:

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)…

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Q: D(3, 7) E(6, 1) F(20, 8) Is the line joining D to E perpendicular to the line joining E to F?

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Let l1 : (x, y, z) = (131, 89, −83) + r (42, 28, −28) where r ∈ R and l2 : (x, y, z) = (29, 21,…

A: LetandShow that the lines  and  are identical.

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

A:

Q: Which of the following is equivalent to the line (t) = (1 t) (1, 1) + t(2, 3)? A. (3, 4) ((1, 1)) =…

A:

Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: Find the point of intersection, P, of the lines x - 3 y – 3 Z – 6 3 2 2 x – 2 y – 1 z – 7 - - - 4 4…

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Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: Which one of the following points lies on the line x = -(t + 6), y = (- (6 t)) – 4, z = 2 t – 4? о…

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Q: Let v = (1, 4, 2) and w (a) 20 - 4w = (-2,24,4) (b) Let s = t = 14 = (1, - 4,0). (t, 1, 0). For…

A: Given :v→=1, 4, 2w→=1, -4, 0

Q: A box with must open top 62, 500 cm³, find in 2m thord box material Sides of height: used base :…

A: A square base box Volume= 62500 cm3  We have to minimize surface area so that material used can be…

Q: Y Find S Zdz Such that c is the line which joining A,B,C and D as follows A (o,1) yB (2,1) , C…

A: Here, firstly we have draw the line C with the given points. Then we have to find integration value…

Q: 1(t) = (-8, 10.5, –5) + t (0,3 2(t) = (–12,5, 10.5, 1) + t (3, ind the point of intersection, P, of…

A: