1. If a = 2, b= 5, c = 6, and d = 15 are lines l, m, and n parallel? 2. If a = 8, b = 3, c = 24, and d = 15 are lines l, m, and n parallel?

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

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

A:

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: Lines l, m and n have respective equations X = 0, Y = 2X and Y = 0. a. Find the equation of line p…

A: Given Information:The equations of lines l, m, and n are  and .To find:a) The equation of line p…

Q: Nicole constructed two lines cut by a transversal. She wants to verify that and are parallel. Which…

A: If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines…

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

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

A: Step 1: Step 2: Step 3: Step 4:

Q: 33. Sketch the diagram that you would use to find the magnitude of the sum of a and b if the angle…

A: 20. To find the angle between two vectors \(\vec{a}\) and \(\vec{b}\), you can use the formula…

Q: Determine if the given lines are parallel, skew, or intersecting? (If intersecting, find the point…

A: Here, l1 : x = 2 + t1, y = -2t1 + 3, z = -3t1 + 1 then l1 : (2, 3, 1) + t1(1, -2, -3). Similarly, l2…

Q: 5. Given that ABCD is a parallelogram, find the values for x and y. 7y-4 X+4 D AY 2х- 4

A: Solution:

Q: 9. Find the point of intersection for each pair of lines. Check your answers. a) x + 2y = 4 2y = 4…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. Which line is horizontal? Ay 2 By 2r O c. y = -2x O Dy=x

A:

Q: 13.) Which line is perpendicular to 3x + 2y = 6? a. 4x - 6y = 3 b. y = -3/2x + 4 c. 2x + 3y = 12…

A: Given: 3x+2y=6 To find the perpendicular line of the given line first, solve for y,…

Q: Are the following lines parallel, intersect at a point, or skew? x = 4-3t y = 2+5t z = -2+t ----- x…

A: The objective of this question is to determine the relationship between two given lines in…

Q: 7. A publisher asks a printer for quotations on the cost of printing 2,000 and 3,000 copies of book.…

A: Solution