The distance between the line P(t) = (-4,-3,-5) +t(1,0, 2) %3D and the line Q(t) = (-3, -4,0) +t (2, 1,0) a.) b) 0 d.) Yal e.) TA f.) none of the above is

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

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Q: Specify m to distance from point M (1;0) to the lines (Δ):4x+3y+m= 0 by 2.

A: Please see the below picture for detailed solution.

Q: the two lines are parallel to each other

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Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: Q3) A) Find the Range and the Domain (for two only). 1 1. у %3 x+1 1 2. у %3D 3. у%3D х2 + 1

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Q: . Given points P(3, – 2) and Q(7, 1), find (a) PQ, (b) |PQ|, and (c) – 2PQ.

A: If A=x1, y1 and Bx2, y2 then, AB→=x2-x1, y2-y1AndAB→=x2-x12+y2-y12

Q: a. Let C = C, U C2 where C, is the line segment from (2,0,0) to (3,4,5) and C2 is the line segment…

A: c1: Line segment from (2,0,0) to (3,4,5)The equation is…

Q: 2. Let c be the line from 5 to 2 + 3i. Find i. S. zdz ii. S. ždz

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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: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2).…

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

Q: Let E = (2,7) and F = (10,1). On the line through E and F, there are two points that are 3 units…

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Q: Find m2Q. R 3 mzQ = [ 3.

A: Since the given traingle  △QRS is a right angled traingle  In △QRS         tan(∠Q) = RS/RQ  =>…

Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: Find the solution of the system x'= -4y, y'= -4x, where primes indicate derivatives with respect to…

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Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

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Q: Find the equation of a line that passes through (-5,4) and is parallel to y = -x+3. 7 %3D 6 2 a) y =…

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Q: Let P = (1,2,1) and Q = (0,2,−3). What is the distance between P and Q?

A: Given: Let P = (1,2,1) and Q = (0,2,−3).

Q: 4 3 D B C -5 -4 -3 -2 -1 -1 2 4 A -2 P -3 -4 -5 Consider the line segment PQ with endpoints P(-3,…

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Q: 2. Sketch the line = : (−2,−3) + t(3,4), and label 3

A: An equation of the formhas x-intercept a and y-intercept b.

Q: B-N and u Compute the distance d from y to the line through u and the origin. Let y = d= 4 1 3 -4

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Q: d. (-1,4) 11π b. (-3,) c. (3,- 6 5π 2

A: (r, θ)=-3, 11π6(x, y)=(r cosθ, r sinθ)        =-3cos11π6, -3 sin11π6       =-332, 32In the second…

Q: Use this formula to find the distance from the point P= (-2,3) to the line 3r – 4y + 5 = 0. 2. Let P…

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Q: Find the distance from the point (-6, −6, 2) to the line Ỉ =(−1,−1,7)+t(4,−8,2),−oo <t<0. <∞.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.