While the coordinate axes separate the Cartesian plane into 4 subsets (quadrants), the xy plane, z plane, and ye plane separte Cariesian ae Select one: 8 subsets o b 6 subsets Oc. 4 subsets Od. 12 subsets

Q: Y 10 9. -10 -8 -6 -2 10 -2 -6 -8 -10 Find the distance between points U and Vin the coordinate…

A: the point indicated areU(x1, y1)=(-7,-5)V(x2 ,y2) =(5 , -3)

Q: Consider three points in three-dimensional space: ?=(11,2,−3),?=(2,−3,11),?=(−3,11,2) Let ? be the…

A: Let us consider the given points be To find the equation of plane containing the points A, B and C.…

Q: Q1) consider a plain (M) that contains the three points A(1,-1,1), B(2,3,0), and C(0,1,-2) a Find…

A: Given that A1,-1,1, B2,3,0, C0,1,-2 (a) The objective is to find the equation of the plane,…

Q: w Findthe angle between Plant and planz if plan through the point (l1,)ard planez trongh the Point…

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Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

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Q: 4. Points P(1, 2, 0), Q(2, 3, -1) and R(-1, 1, 5) lie on a plane. Find the Cartesian equation of the…

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Q: 2- 1- -6 -5 -4 -3-2 -1 0 1 23 4 5 6 -1+ -2- -3- -4 - M -5+ The following transformations are…

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Q: Let A(-1, 3, 3), B(4, –1, 0), C(5, 4, –7), and d D(2, –1, –1). Find iii. the equation of the plane…

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Q: 1. Find the angle between the lines L,:x = 3 + 8t, y = -6t,z = –7+ 24t and L2:x = 3 + 8t, y = 15t, z…

A: Solving only ques 1 according to guidelines.

Q: A)Find the equation of the XZ plane. B)Finde the equation of the plane ,each of whose points is…

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Q: Exercise 1.5. Consider coordinates in the plane; i.e., pairs (a, b) where a,b e R. Recall that two…

A: Given: a,b To find: Program

Q: 3. Write an equation of the plane that is determined by the lines given by == and ==국 -2 z-2 -3 4 -1

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Q: Given three non-collinear points P, M, and B, how many plane/s can be determined?

A: Non-collinear points are the points through which a single line cannot be drawn.

Q: Three points with position vectors a, b, and c will be collinear (lie on a line) if the…

A: Given that:         Position vectors of points areA(2,2,3), B(6,1,5) and C(-2,4,3)

Q: (1.3) 8ymmihic trom of the line ,& . A180 find its general form. (1i4) check which þair of planes…

A: Given lines are, π1:2x-y+z=6π2:x+y+2z=3π3:3x-4y+5z=10π4:2x-y+z=3π5:x-3y+2z=1

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13

A:

Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this…

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Q: 4) What rule and unit vectors are used to do 3-dimensional graphing? Graph the plane, R = 3x-2y +62…

A: To Explain: The rules of plotting the plane R: 3x-2y+6z=4.

Q: Find the cartesian equation of the plane determined by the two intersecting lines x-4 y+1 z-2 L1: 3…

A: Here,  v1=3i+2j+kv2=5i+3j+2k v1×v2=ijk321532=i4-3-j6-5+k9-10=i-j-k Thus, the equation of the plane…

Q: 1. Let points A, B, C, and D be as follows: A=(3, 1, 2), B=(-1,3,5), C= (0, 2, 2), D =(4, 5, 1) a)…

A: The distance of a plane is defined as the algebraic expression that gives the pairs of points in the…