4. (Parametrizations) (a) line segment from (5,-2, 10) to (-6,-4,1) Find parametric equations for the following curves. (b) part of parabola y = -² from (-1,-1) to (2,-4) (c) part of a circle of radius 3, centered at the origin, traced out counterclockwise with initial point (3, 0) and terminal point (0, -3).

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…

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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: 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: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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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: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: 9. (a) What are the two properties that determine a line in space? Give parametric equations for a…

A: To find the parametric equations for the line through the given points and to mention the properties…

Q: Find the parametricequations of the line passing Through (-2,0,3) parallel to ū = 2i +49-2R.

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Q: _7. The direction numbers of the line passing through the points A(-2,-3,1) and B(6,9, –3) are (a)…

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Q: When finding parametric equations for the line of intersection of two given planes, how do we use…

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Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: P(-3,2,-3) and Q(1,-1,4).