By analysing the normals, determine if the three planes intersect in a point. T₁: X-5y + 2z-10 = 0 ₂: [x, y, z]= [0, 0, 3] + s[2, 0, 1] + t[7, -1, 0] 2 13: 8x + 5y +z - 20 = 0

Q: Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation…

A: Center of dilation=-2, -1X=1, 1, Y=3, 0, Z=2, 5Dilation factor, k=3

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v = (-6, -9, –8) (a) ux v (b) v xu (c) v x v

A: We can make it easier for you

Q: Let L be the line through the point Q = (- 6, - 9, - 10) and direction vector d = [- 1, - 2, - 2]^T.…

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Q: 8. Find a normal for the plane that passes through the points: P(2,-2, 3), Q (3, 2, 1), R(-1,-4, 2)

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A: We have to check whether given set of vector is linearly independent or dependent.

Q: Let L7 be the line passing through the points Q1=(3,-5, –1) and Q2=(0, 4, –10). Find a value of k so…

A: Given that L1 be the passing through the points Q1=(3,-5,-1) and Q2=(0,4,-10). And the line  L2 be…

Q: For the given data (0, 5), (1,9), (4, 3) find the curve y = a + byx that best fits the data in the…

A: Given the data (0, 5), (1, 9), (4, 3)

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

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Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

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Q: For the given data (0, 1), (1, 1), (2, 3), (3, 5) find the line y = ao + a1x that best fits the data…

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Q: Consider the linear equalion 5x+2y=17. Fis the value of s that makes the given ordered pair (x,1)

A: The given equation of the line and point is: 5x+2y=17 and Px,y=x,1

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

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A: The objective of this question is to find the point of intersection between a given line and a…

Q: the the point (-1,2,256) of the normal line to the Surface 2 = 2xy + a -t + 256.

A: X=-1024t -1 Y= 896t+2Z= -t+256Explanation:Step 1:-- Step 2: Step 3: Step 4:

Q: Find the equation of the normal at the point where x - 4, for the curve 8 3 y = 2x² - 4x² — — — 1 X

A: Here we have to find equation of normal.

Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…