Find a parametrization of the line in which the planes x+2y + 4z= -4 and 2x+3y +6z= -7 intersect. Find the parametrization of the line. OA. x= -2+t, y=-1+2t, z=4t, -∞

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: d an equation for the plane that passes through the origin and is perpendicular to the line (t) =…

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Q: Which one is the point of intersection of the plane - 3x + 3y + 4z = 49 and the line x = 3-51 y =…

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Q: L(t) = (−2,0, 3) +t(2,3,−4), _ne 27x+10y + 21z = 1279. is … -∞<t<∞

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Q: -3x+YA, where R is the parallelogram enclosed by the lines 4x - 5y Find R - 3x + y = 0, Round your…

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Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

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Q: A perpendicular line is drawn from point P(1,2,1) to the plane -2x+ 4z 8 and meets the plane at…

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Q: Find the point at which the line (-3, 3, 0) + t(-2, –3, –2) intersects the plane -2x – y + 3z = 5.

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Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: Find the intersection of the line and the plane. 2x + y = 3, r(t) =〈2, -1, -1〉+ t〈1, 2, -4〉

A: We have to find the intersection of the plane 2x+y=3 and the straight line r(t)=2,-1,-1+t1,2,-4

Q: Let 9 -15 ------ 12 V2 = -6 h = V1 = -3 3 1 - 2 For what value of h is y in the plane spanned by v₁…

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Q: Answer the questions in detalied steps and show work. (1 and 2)

A: Step 1:Step 2:

Q: 4 k V1 = V2 = -5 ; y= -6 -2 k For what value(s) of k is y in the plane spanned by vị and v2?

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Q: Find the point at which the line F(t) = (-2,−1, 6) +t(-4, 7, 1) intersects the xy plane. Question…

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