Find the distance from y to the plane in R³ spanned by the set (U₁, U₂} 6 - 2 4 y = -9 a. b. C. 43₁ 43, 43₁ d. 43, 1 195 2 195 3 195 3 391 -5 4₂ 1

Q: Answer the questions in detalied steps and show work. (9 and 10)

A: Step 1: Solve question 9.Step 2: Solve question 10.

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: 41-44 Use intercepts to help sketch the plane. 41. 2x + 5y + z = 10 43. 6.x - 3y + 4z = 6 42. 3x + y…

A: 43. Given: 6x-3y+4z = 6

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: ln the ry-plane, the point P (2, 3) is first reflected across the x-axis to point Q, and then Q is…

A: Given point (2,3)   Reflection of (x,y) to x axis gives (x,-y)

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: 5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendic through the points A(1, 2, 5),…

A: Introduction: When a vector is along the direction in another vector, the two vectors are parallel…

Q: The dot product of two vectors can be written in the form s+ 18 t. x1 x2 in R" is defined by * ·ý =…

A:

Q: Determine the intercepts of each plane. a) [x, y, z] = [1, 8, 6] + s[1, –12, –12] + t[2, 4, -3]

A: As per policy, only the first question is answered as you have asked multiple questions asked in a…

Q: Q1 Let P be a point not on the plane that passes through the points Q, R and S. Show that the…

A:

Q: Please answer one question asap. Thank you!!! 26. Find the intercepts of the plane [x,y,z] = [5,4,3]…

A: To find the intercepts of the plane given by the equation [x,y,z]=[5,4,3]+s[1,0,1]+t[−1,−4,−2], we…