Find parametric equations for the line that passes through the point P and is parallel to the vector v. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.) P(9, 8, 7), v = (0, –4, 2) V

Q: Consider the points A=(2,7,-4) and B=(4,5,7) in R3, one way to write the parametric equation of the…

A: Given :- Consider the points A = (2, 7, - 4) and B = (4, 5, 7) in R³, To find:- one way to write the…

Q: Give a vector parametric equation for the line through the point (3, 1) that is perpendicular to the…

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Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

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Q: Find a vector parametric equation r(t)|for the line through the points P = (-3, –2)|and Q = (-5,…

A: According to the problem, we have

Q: Show that the point P(4,-1,1) is common to the lines L, and L, Find The point of intersection of L2…

A: In this question, we find the intersection point and find the equation of plane containing lines.

Q: Complete the parametric equations for the line where the planes Bz - 4y +22 = 8 and 3z- 14y- 7z = 56…

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x= 2+3t y…

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Q: Complete the parametric equations for the line where the planes – 3x – 9y – 12z - 11x + 2y – 10z 33…

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Q: Find the parametric equations for the lines. Where, the line through the point P (3, -4, -1)…

A: Topic = Vector

Q: Find the equation of the plane containing the point P(1, 1, –1) and the line -4+t 1- t 1+t

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Q: Find parametric equations for the line through the origin parallel to the vector 3j + 9k. Let z =…

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Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: If a line is parallel to the vector 4i + 10j + 7k and passes through the point P = (7,7,4), then the…

A: Solution

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

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Q: Find parametric equations for the line that passes through the point P and is parallel to the vector…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

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Q: Find the parametric and symmetric equations for the lines with the following conditions. (a) Passing…

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2 + 3t…

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Q: Find parametric equations for the line that passes through the point P and is parallel to the vector…

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Q: a) Find the scalar parametric equation and vector equation (r = c + ta) of the straight line z+5 x –…

A: We have to find

Q: L(t) The vector parametric equation for the line through the points (1, 2, 4) and (5, 1,-1) is

A: Given points,  (1,2,4) and (5,1,-1)

Q: 3. Find the equation of the line that goes through the point (1, 3, 2) and is parallel to the line…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the vector equation that represents the curve of intersection of the paraboloid z 2x2 + y and…

A: z=2x2+y2  & x=ey We can see that y can be represented in terms of x.

Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: 4) a) Find the vector parametric equation of the line in R³ that is perpendicular to the plane 2x -…

A: Given plane is, 2x-3y+7z-4=0

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: Please answer the following question: Find the distance of the point (2, 6, –4) from the line r(t) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If a line is parallel to the vector 3i + 2j + 1k and passes through the point P = (1,3, 8), then the…

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Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the…

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Q: Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

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Q: Find a parametric form for the line through the point (0, –7, -9) and parallel to the vector 6i – 7j…

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Q: ..... Q4): A: Find the equation of the plane passing through the point p(2, –1,-1) and parallel to…

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Q: r: A = (3,2,4) m = i +j+k 2: А %3D (2,3,1) В %3D (4,4,1) %3D (a) Create Vector and Parametric forms…

A: Let us solve the given problem related to Straight lines in Space in the next steps.

Q: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

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Q: If x = 1- 2t and y = 1+t denotes the parametric equation of a line in 2D , then (-2,1) is a) A point…

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Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

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Q: 2. Find the parametric and symmetric equations for the following lines. (a) r=i- 2j- 3k+t(i+j+k).…

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t…

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Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

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Q: If a line is parallel to the vector 7i +9j + 9k and passes through the point P = (10,4, 1), then the…

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Q: If a line is parallel to the vector li + lj+ 4k and passes through the point P = (8, 4, 8), then the…

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Q: Find a vector equation for the line through the point P = (4, -2, -4) and parallel to the vector vv…

A: P= (4,-2,-4) is a point on the line.  And the line is parallel to v=(4,-1,4)  v is the velocity…

Q: Find the parametric equation of line that passes throught the point (1,-2,4) and is parallel to the…

A: The given point is (1, -2, 4) and parallel to the vector v=[2, 4, -4].

Q: Given points P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) find the parametric equation of the line PQ…

A: Here given point  P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) So  PQ=2-4, 5--2, 5-5=-1, 7, 0 PR=0-4,…

Q: If a line is parallel to the vector 7i + 5j+ 5k and passes through the point P=(4,3,5), then the…

A: To find the parametric equation of the line:Given line is parallel to the vector 7i+5j+5kSo, a=7,…

Q: If a line is parallel to the vector 7i + 9j+ 9k and passes through the point P= (2,9, 7), then the…

A: Given query is to find the equation of the line.

Q: Please help with the following math question: Give a vector parametric equation for the line…

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