The plane that contains the points (-2,1,0), (1, 0, –1) and (0, –1, 1) is orthogonal to which vector? None of the above (3, 5, 4) O (-1, –1,0) O (1, –2, 1)

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Do only question 6

A: Evaluate fx​(3,1)Evaluate fy​(3,1)Find the derivative of f(x,y) with respect to x, treating y as a…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: 1st we will find component of Ap on line L and then will use triangle law of vector addition to find…

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.…

A:

Q: Do question 11

A: Step 1: Step 2: Step 3: Step 4:

Q: The plane that contains the points (-2, 1, 0), (1,0, – 1) and (0, –1, 1) is orthogonal to which…

A:

Q: Do question two only

A: Step 1: Assign variablesFrom the givena=⟨4,6,9⟩b=⟨−6,−3,2⟩Let:xa = 4ya = 6za = 9xb = -6yb = -3zb = 2…

Q: 1. O (x, y, z) = (1,2,3) + t(4,5,1) 2. O (x, y, z) = (1,2, -3) + t(4, -5,1) 3. O (x, y, z) = (4,5,1)…

A: Explanation of the solution is given below...

Q: Do question 12 only

A: The given in item #12 is:∫04π​​∫01​∫0x2​xcos(y) dz dx dy Consider the innermost…

Q: Do only question 5

A: Step 1:Identify the variable you're differentiating with respect to. Let's say you want to find…

Q: -91 Let y = -3 and u = and 2 orthogonal to u. x₁ = 4 -2 Write y as the sum of two orthogonal…

A:

Q: Do only question 7

A: To find the equation of the plane that is tangent to the given surface at a specific point, we need…

Q: Suppose that x = (2,1,0,3),y=(3,-1,5,2), and z=(-1,0,2,1). Which of the following vectors are in…

A: A vector v is said to be in the span of the vectors v1, v2, v3, ……, vn if the vector v can be…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: A vector orthogonal to the plane through the poii (-1,0,0), (0, –2, –2), (2, 3, 4) is < -2, – 10, 9…

A: The given 3 points are A (-1,0,0) , B (0,-2,-2) &amp; C (2,3,4) Let, x1=-1, y1=0, z1=0 x2=0, y2=-2 ,…

Q: Do only question 8

A: To find the equation of the plane tangent to the surface  f(x,y)=x+yx​ at the point (1, 2), we need…

Q: 10- By using the disk method, determine the integral which gives the volume of the solid obtained by…

A: Consider the equation of the curves, y=e-x, x=2 and x-axis, and y-axis. The graph is shown below,

Q: Do only question 4

A: Questio(4)Part(a)Find limt→∞​r(t):Given r(t)=⟨2sin(t),3cos(t),t2⟩, as t→∞,sin(t) and cos(t)…

Q: Do question 9 only

A: Step 1: Compute the Gradient of 𝑓Given f(x,y)=x2ey,Compute the partial…

Q: A normal vector to the plane passing through the point (2, 1, -4) is (-1, 3, -61 The equation of…

A: The objective is to find the equation of plane.

Q: Which of the following is the vector equation of a plane that contains the line x-3y+2 2-1 5 -23 and…

A: We know r→ = a→+s→+t→ From the equation of line, we get a→ = 3i^-2j^+k^ or we can write it as 3, -2,…