oints. Assume all the lines are non-vertical. 81. (2а, а) and (За, -а)

Q: 11. Determine whether the lines are parallel, perpendicular, or neither. Show your work. 4 Line 1:…

A: Since the product of slopes is -1 hence these lines are perpendicular.

Q: 9. Can one line be perpendicular to two other lines that intersect? Ex- plain.

A: It is possible in three dimensional geometry but its impossible in two dimensional geometry.

Q: Which of the fallowing lines are parallel to line ur(3,0,1,5.2) O (3,0,-1,5, 2) O (6.0,-2,-10,4) O…

A: If we multiply any number to vector that are parallel vector

Q: (-6, 4) and (2, 9) %3D AX : %3D Ay Slope = %3D AX

A:

Q: O 9. Straight lines passing through the point (5, 0)

A:

Q: 4 The slope of the line that passes through the point (2, 4) and (3,8) is

A: Calculate slope

Q: 15. What is the distance between points (-3, 6) and (-7,-2)?

A:

Q: Find the intersection point of the two lines: [x, y, z] = [–2, 3, –3] + t[1, –1, 2] and [x, y, z]…

A:

Q: 3-Find the coordinates of the point on the line y= 3x+i. that is equidistance from (0,0) and (-3,4)…

A:

Q: The line through (1,-3, 4) that is parallel to the line x- 3 + 4r,y= 5-1,2 = 7

A:

Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

A:

Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: (1) What is the relationship between lines 11 and 12? where L:x = 2, y = 1+2t, z = 1+t L2:x = 4 -t,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: (1) Coordinates of G are (-2,4) We know that coordinates of the point (x,y) after dilation by factor…

Q: 4. If two lines do not intersect, can a third line be drawn perpendicular to them?

A: This is a problem related to intersection of the line. Based on the general formula and concepts we…

Q: A line segment P1(2,6) and P2(4,7) is scaled by 5 in x direction and 5 in y direction and then…

A:

Q: 5. Determine the angle 0 between the lines 3x + 4y - 6 =0 and 2x + 3y + 4 = 0.

A: Here we have to determine the angle θ between the lines 3x+4y-6=0 ..................... (1) and…

Q: Find the distance between the parallel lines. x + y  =  1 x + y  =  8

A: Let d be the distance between two parallel lines

Q: 9. Find the distance between (-7,4) and (1,3).

A:

Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: What is 8,9 reflected over y-axis

A: The point (8,9) is shown in the graph,

Q: Find the distance from the point (1, 2, 3) to the line x=0,y=2+5t,z=3+5t

A:

Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…

A: Solve the both equation

Q: Find the point of intersection, P, of the lines x - 3 y – 3 Z – 6 3 2 2 x – 2 y – 1 z – 7 - - - 4 4…

A:

Q: 3. Line ZW is parallel to line XY and line CD intersects both lines. 154° -Y X 3 4. Based on the…

A: Given To Evaluate m∠1 and m∠2?

Q: Find the angle in degrees between two lines. 3x+y = 3 and x-y = 2.

A:

Q: Determine the equațion of a line that is perpendicular to y=x+5 that goes through the point (5,-2)…

A:

Q: 7.4 Translations can be defined the composition of reflections over two lines. What must be true…

A: To Define: Translation in terms of reflection over two lines. Also, we will have to use an example…

Q: 17. LUne / contalns the points (2,6) and (6,18) and line k is perpendicular to line /. What is the…

A:

Q: 10 5- |-10 -5 -5- Find the distance between points B and T. Type in your answer below. -LO

A: Use the distance formula of distance between the line joining two points P(x1,y1) and Q(x2,y2),…

Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

A:

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A:

Q: The distance between the points (1,-2,1) and (5,1,4)

A:

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: 12- Show that the lines L1 and L2 are parallel and also find the distance between them. L1: x=2-t,…

A: Solution: Consider the given lines in parametric form; L1:Consider x = 2 - t = x0+ aty = 2t = y0 +…

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: 8. y-ax+1, X=4 , y =3 about the line X=-4

A: see 2nd step.

Q: 2 Draw and label line QR (QR). Draw point S on it. What are two other names for line QR?

A:

Q: Find the point on the line 5x + y = 5 that is closest to the point (−4, 1). (x, y) =

A: Given information:- Find the point on the line 5x + y = 5 that is closest to the point (−4, 1).…

Q: Determine Duf (4, – 1,6) for f(x, y,z) = e**y + 4zx³ in the direction of (-3,2,6). %3D

A:

Q: Find k so that the line containing the points (-3,k) and (6,12) is parallel to the line containing…

A:

Q: 7. If the following lines intersect, determine the point of intersection. Otherwise classify the…

A:

Q: 6. Is the line y=-x-9 perpendicular to the line y= x-9? 6.

A:

Q: 5. What are the lines that are parallel? line 1 and line 3 line 1 and line 2 line 2 and line 3 O…

A:

Q: 5- Find the distance from the point to the line. a. (0,0, 12); x = 4t, y = -2t, z = 2t b. (0, 0, 0);…

A:

Q: The line through (8, 5) that is parallel to 3i+2j. Ox = 8+51, y = 3+2t Ox = 8+81, y = 5+5t Ox =…

A: Given query is to find the equation of the line.

Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.