Let U(9, 9, 2), V(9, t, 4), and W(2, 5, 8). U, V and W have the same starting point. find t for which U, V and W are coplanar (same Plane)

Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: P = (1,2,3)         Q = (3,0,-1)          R = (0,-2,1) If these three points are not collinear,…

A: Given: There are three points which are: P=(1,2,3)       Q=(3,0,-1)       R=(0,-2,1) We have to…

Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the plane through U, V, and W, expressed in…

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Q: A plane is perpendicular to [x, y, z] = [3, -30, 24] + s[2, 4, -2] and contains the point…

A: Step 1:​Plane is perpendicular to [x,y,z]=[3,−30,24]+s[2,4,−2]Direction of Line…

Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (3, -1, 1), (1,…

A: Data points 0,-4 , 0 ,5 , 0 ,0 ,3 , -1 , 1 ,1 , -2 ,1 ,1,-5 , -3. To Find: The plane z=a+bx+cy that…

Q: If the plane contains the points P(1, 0, 0), Q(3, 2, 0), R(0, 2, 1), W(a, 1, ), then a = -6 O-2

A: Solution: The equation of plane passing through points P1,0,0, Q3,2,0, R0,2,1 is x-y+3z-1=0

Q: 8. Let a be the plane that goes through the origin and has normal (1,2,3) and let 3 be the plane…

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Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

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Q: Write a scalar equation of each plane. a) [x, y, z] = [2, -5, 4] + s[2, -3, −2] + t[7, -3, 5] b) [x,…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: Describe geometrically (line, plane, or all of R³) all linear combinations of a. b. C. 27 13. [1 2…

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Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

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Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R O-(2,4,2) +…

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Q: Let A be the point with coordinates (-6, -2, 0), let B be the point with coordinates (0, 4, -2), let…

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Q: Show whether or not the given set S of vectors a) span V, and b) is linearly independent 1- V = R³,…

A: As you are posted multiple questions but according to bartleby Q&A guidelines we solve only…

Q: 4. Find an equation of the plane that passes through the points P(1,3,2), Q(3,–1,6), and R(5,2,0).…

A: Given points P1,3,2, Q3,-1,6, R5,2,0

Q: Give v that is perpendicular to a plane containing (1,2,3), (3, 4, 1) and (-1, -2, -3). Check if…

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Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

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Q: (5, 2, 1) span R³? 1. Do the vectors 1 Explain. [In other words, is the set A = (1, 1, 2), ī2 (2, 3,…

A: We have vectors -  v1 = (1,1,2) , v2 = ( 2,3,4) , v3 = (3,4,6) , v4 = (5,2,1)  We have to check this…