(c) A line in R² not through the origin ax + by sC #0 then &H. :, t is not a ad Umecepsang but ealightenng: You could wn'te this as a Sobset, H, of R2 开|ke Is H closed under ☺ 3 Is H closed under ☺ ?

Q: ARST Is translated so that point R (-2, 1) Is mapped to point R' (2, -4). Which ordered pair best…

A:

Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: 23) Perform the operation, then simplify.: * 8s³ 10s7 25s 32s 14 A) S/1. 2 C) E) A) B) 20 D) OE) 516…

A: we need to find out the correct option.

Q: 33 What point on the line through (1,2, 5) and 3, 1, 1) is closast to the point (2, -1, 5)?

A: Given: The line passing through the points 1,2,5 and 3,1,1 To find: The point on the given line…

Q: D, E, F

A:

Q: Shaw that if Pu: R"> R^ is a onto a line and VER then; prejeetion

A: Given : Pu :ℝn→ℝn is a projection onto a line and v∈ℝn To show : ∥Puv∥≤∥v∥

Q: Wie the defiebun of the desiunhue P) lin flxal) -RC) ke compule devivative of fl)=3X-X hab find the…

A: Answer is y=-x+4

Q: Suppose 7 = (5, -5,2). Then (-10, 10,-4) is ✓ (2,-1,-1) is (7.5, -7.5, 3) is parallel perpendicular…

A: If the dot product u•v=0 , then u is perpendicular to v.If the cross product u×v =0 , then u is…

Q: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

A: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

Q: 13. Find the intersection of [x., y.=]= [4,-2.3]+ r[1,–1,7] and| [x, y, =]=[2.-4,11]+ s[3.1,–1].

A:

Q: 3) Find the distance from ( − 11 , − 8 ) to ( 1 , − 13 ).

A: