2. If = [m, n, 1] is perpendicular to both a = [4, 1, −2] and b = [2, -3, -8], find m and n.

Q: 2. Determine which line is perpendicular to the line 2x-3y + 17 = 0.

A:

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

A:

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

A:

Q: Compute (3, -3,1) • (-1, -3, -4). (3, − 3,1) • ( − 1, − 3, -4)= (Simplify your answer.) - -

A:

Q: 1. Find the value of c so that the lines 5x+cy = 4 (A) c = -3 (B) c=15 x-3y=9 and x- (C) C=-15 (D)…

A:

Q: 1. Write the line parallel to y = -2x + 5 that passes through the point (1,1). a. y = -2x + 1 b. y…

A: Question 1 - The equation of line is given as - y = -2x + 5 Comparing the above line with the…

Q: 1. Which two lines are parallel? 1.5y--3x-5 2. 5y=-1-3x 3. 3y- 2x =-1 1 and 3 None of the lines are…

A:

Q: Match each line with a perpendicular line. A. y = 5x +2 1. the line through (2, 12) and (17, 9) В.…

A:

Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

A:

Q: alm +3)+ m= Bm 3m-

A:

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

A:

Q: Which equation is NOT linear?

A: Given equations are, A.5x+2y=25B.x2+y=0C.19x+23y=21D.x+y=2 Linear equations are the equations having…

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Plot each pair of points. Connect the two points in each pair. a) A(3, 4) B(5,0) b) C(-3,-1) D(0, 4)…

A: The points are: (a) A(3, 4)          B(5, 0) (b) C(-3, -1)       D(0, 4) (c) E(5, -4)         F(3,…

Q: 38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are…

A: