Q. Is it a Linear Transformation? x² – y²] Part (i) x² 2 + y²l Г2х — Зу] 3y – 2z 2z - Part (ii) Lly =

Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: (c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t,…

A: (C) If c is scalar function Means      curl(grad ƒ)  is = 0   Therefore correct ans is  True

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

A:

Q: Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point

A:

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: Use the transformation u = y – 3x, v = y + 6x to evaluate // (2y + 12x) dA on the parallelogram R…

A:

Q: What kind of transformation results in applying the rule (x, y) → (x – 5, y) in the coordinate…

A:

Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: The graph of the linear equation r=y passes through the point: O (4, 4) O (4,0) O(0,-4) O (4,-4) O…

A: Given equation  x=y

Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: |-2+1 () 7:2 だ,て メ-ドコ X, +1メ」 メレ-3x, transformation is gi ven t of trensformation; 4) Show that it…

A:

Q: t G(u, v) = (6u + v, 32u + 9v) be a map from the uv-plane to the xy-plane. Find the image of the…

A: We have to find the equation of line in slope intercept form.

Q: Complete the description of the transformation rule: (x, y) → ( x + 7, y - 15) Translate and

A:

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

A:

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: Find the linear equation of the plane through the point (0, 1, 1), (1, 0, 1), and (1, 1, O)

A: Consider the point (0,1,1). Take option (a) x-y-z+2=0-1-1+2=0 Take option (b) -x+y-z+2=-0+1-1+2=2≠0…

Q: (14,11), (10, 16) m=y-Y, m%3DL,: X, - X

A: Given two points to find out the slope  (14,11)  and (10,16)   To find out slope m , we use slope…

Q: Give one application of linear transformation then explain while including illustrations for support

A: linear transformation has many application but  image rotate and flip is one of application

Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry

Q: (part 1 of 4) Suppose you start at the origin in 3-space, move along the x-axis a distance of 2…

A: Initially you are at: (0, 0, 0)