I Let P, and Pa be the planes Pix+y+2= P: 32 -2y+Z=5 ) Find the parametric of in ter section of the the pôint (2,0, -1) that is equation for the line P p lanes P, and P2 throu an the two b) Let = <2, - 3,07. Is the line found in (4) pa to ů, perpendiculer to c) Find an equation for origin which is para llel to Pa ý or neithe of these the plare throrgh

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: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: Find an equation of a plane making an angle of π/2 with the plane 3x + y − 4z = 2

A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

Q: 7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

A: We have to solve given problems:

Q: 11. Consider the plane and the line with these equations: 0 = 2x + y -z + 10 a) :. e must b) Find…

A: The line passes through (-4, 2, e) and has direction ratios  3, f, 1 In case (a) the line lies on…

Q: findthe parametríc equatlons for the line through the paint of in tersecti of the lines 4=X=2+ 36 14…

A: first we find intersection point of given line

Q: Depine P = (1,3), Q = (2,4), V = (-1), 3 line I₁ = P + [v] and l₂ = Q + [v] Find : a) d (P. ₂. le)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 10) (a) Make sure to show work. Given the Cartesian coordinates (–2, 2), find the polar coordi-…

A: Polar coordinates representation

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

Q: x < 3x + 4 and 4x − 1 ≥ 15. Give your answer in interval notation, and sketch a graph of this…

A: Provided that                                       x&lt; 3x+4      and   4x-1 ≥ 15Take…

Q: b) Obtain the equation of a plane, P that is orthogonal to the line L:x=1+4, y=8+1, z =9+9t_and goes…

A: Given line is                                       L1:x=1+4t, y=8+t, z=9+9tvector parallel to line…

Q: For which values of the constant a does the plane \pi 1: x-ay-az=1, \pi 2: ax+y-z=a, \pi 3:…

A:

Q: Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a)…

A: Given: The line passing through the point 2,-3,5 and having direction vector 1,2,4, To find: The…

Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: ind the equation of the tongent plane to fox,y)=x²-2xy + 2y ² slope 2 in the positive x direction…

A:

Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

A:

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

A:

Q: Consider two non-parallel lines L1 and L2 in R2 with the following parametric equations: (3,6) +…

A: Given : L1 = (3, 6) + s(3, -4) and                   L2 = (-4, -6) + t(2, -4)

Q: b) Let l and l2 be lines in 3 space such that 2. 4 passes through the point with coordinates (3, 4,…

A:

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

A:

Q: (10) Find the distance of (3,-1,2) from each of the following: a) line: x = 1+ 2t, y = -t, z = 1-t…

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Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

A:

Q: the

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