Find the shortest distance from the point P = (−2, −1, 7) to a point on the line given by 1 : (x, y, z) = (−7t, −4t, 4t). The distance is

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

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Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

Q: Find the shortest distance, d, from the point (3, 0, -4) to the plane x + y + z = 4. d = ×

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Q: Find the point on the line y = 8x + 7 that is closest to the origin. (Hint: the distance between two…

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Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Q2: Calculate the shortest distance between the two lines: (2) a-L Zo z+1 and a

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Q: Given XZ with X(-4, 3) and Z(6, -2), find the coordinates of Y if Y divides XZ one-fifth of the way…

A: The given line XZ cuts in two-part, The ratio of these parts is XY : YZ = 1 : 4. So we use here…

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: Find the points of intersection of x2 = 4y and y = 4x .

A: Given,          The point of intersection of x2=4y and y=4x.

Q: Find all solutions xa-10X+100 =0 by using the quadratic for muld. x=

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Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

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Q: A. Find the shortest distance between the point A (3, 10) and the line y=x+1.

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Q: Consider the line L(t)=(5,2t,5t-5) and the point P=(1,5,2). How far is P from the line L?

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Q: K (x2.V1) (1-Y1)

A: Determine the length of LK

Q: A. Find the shortest distance between the point A (3, 10) and the line y = x +1.

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Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: Find the point(s) on the line y = 7x + 3 closest to the point (−1, 8).

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