2: (a) Find parametric equations for the line through the point (-6, 1,2) and the point of intersection line ***-- x+4 1 with plane x-3y + 2z 10. 5 -2

Q: Find an equation of a plane containing the line r (-3, -3, -5)+t(4, 4, -2) which is parallel to the…

A: A plane containing the line r=-3, -3, -5+t4, 4, -2 which is parallel to the plane -2x+y-2z=8. We…

Q: Let / be the line given in parametric form by the equations x = -2 + 1A y = -1+6) z = -1+7A What is…

A: given line is                                               x=-2+λy=-1+6λz=-1+7λ any point on the…

Q: 7. A line has equation /:*-=-= 1:*=1==32₁2=3 x-1 y-2 -,Z=3 z a) Write the parametric equation for…

A:

Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: 2) Find the equation of the line parallel to M = 3i-2j+4k that contains the point (3,-1,-2) in (a)…

A: Concept: The equation of the line passing from through the point (x0,y0,z0) and parallel to the…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: We have to find equation of line in symmetric and parametric form.

Q: The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all…

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Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

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Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Solution

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

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Q: A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line…

A: As we given that equation of the line passing through the point (x0,y0,z0) and parallel to another…

Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…