The line of intersection of the planes x+y+ 2 = 0 and x - y = 0 is Or(t) = (t, t, 1 - 2t) OF(t) = (t, t, 0) ○ r(t) = (t, 0, −2t) O None of the above.

Q: Find a plane containing the point (7,3,5) and the line x(t) - 3 + t | y(t) 8 +t z(t) - 3 + 5t

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Q: Find a plane containing the point (-5,-8,-7) and the line x (t) y(t) z(t) = = = −7+ 6t -3 - 2t - 2 +…

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Q: Find a plane containing the point (7,-8,8) and the line F(t) = +t

A: Given that, the point is 7,-8,8 and the line is r→t=-6,-8,-7+t6,8,4. From the given line, the point…

Q: 2. (§1.1) Sketch the following set of points in the x-y plane. {(x, y) = R²: (y - x²) (y + x²) < 0}.

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Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

A: Consider two planes which are not parallel to each other and intersect. Since planes are three…

Q: Show that the line [x, y, z]= [5,-1,3]+[4,-5,2] lies on the planes 3x+2y-z = 10 and 7x+4y-4z=19.

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Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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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: Find the line of intersection between the two planes x+2y-z = 5 and x-4y+z=3

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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: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

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Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: The line of intersection of the planes x + y + z = 0 and x - y = 0 is

A: The given planes are..Find the equation of the line in parametric form.

Q: 7. Where does the line r(t) = (1, 4, 2) + t(−1, −3, 5) intersect the plane 3x – 5y + 92 = 2, if at…

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Q: Which of the following is the intersection point of the plane 5x-2y-3z=0 and X = 5-t the line y =…

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Q: The line L(t) = (4 - 3t, 13 – 3t, 4t – 10) intersects the plane 2z - (4x + 2y) = 16 at the point |…

A: We have to given  line L(t)=&lt;4−3t,13−3t,4t−10&gt; which intersects the plane 2z−(4x+2y)=16 at the…

Q: The line L(t) = (4 – 3t, 3, 1 +t) intersects the plane 3x – 3y + 2z = -16 at the point when t =

A: To find the point of intersection of the line and the plane, substitute the values of x,y, z from…

Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

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Q: nt of intersectic -6 y + 8 = 3 O) カー

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