(a) Are the lines L and La parallel, skew or intersecting? The point of intersection of the lines L and L2 is ( If the lines do not intersect, then leave this blank (b) Are the lines L and La parallel, skew or intersecting? The point of intersection of the lines L and La is If the lines do not intersect, then leave this blank.

Q: Given two lines in space, either they are parallel or they intersect each other or they are skew? If…

A: Standard form of the equation of the line is (a+bt,c+dt,e+ft), where t is a parametric variable and…

Q: 31.) Which of the following lines are parallel? a. y = -2x + 1 and y = x - 4 b. y = -2x + 1 and y…

A: Two lines in the slope intercept form  and will be parallel if the slope of two lines  will be…

Q: 14. Two planes leave the same airport travelling along straight paths that differ in direction by…

A:

Q: 2. (a) Find in standard form of the lines SE) = 3, m = 4 (b) Find k' so that the line through (2,5)…

A: Standard equation of line y(x)=mx+c , where m is slope of line , c is a constant value. Slope of a…

Q: If the straight lines ax+by+c=0, bx+xy+a=0, cx+ay+b=0 are concurrent, then prove a'+b³+c³=3abc

A:

Q: -. For the figure to the right, which two lines (it Indicate how you determined your answer b…

A:

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: Consider two lines: l1(t)=⟨6+4t, 8−2t, 2+6t⟩ & l2(t)=⟨1+4t,3−2t,4+5t⟩ a)  Do they intersect? If…

A:

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: 1. Given that a particular line, AB, passes through the points (6, 12) and (8, 18): Required:  a.…

A: Given line AB passes through (6,12) ,(8,18).

Q: In the diagram, EF and AB are parallel. Line CD is a transversal.

A: Given that: EF||AB and CD is a transversal line.

Q: If three distinct points P, Q, and R all lie on a line and if d (P, Q)  = d(Q, R), then Q is called…

A: If three distinct points P, Q, and R all lie on a line and  d (P, Q)  = d(Q, R),

Q: If the straight lines ax + by + c=0, bx + cy+ a=0,x+ay+b =0 are concurrent, then prove that a +b+c'…

A: Given straight lines,  ax + by + c = 0 bx + cy + a = 0 cx + ay + b =0 The three straight lines are…

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

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: The two lines are perpendicular: O True O False

A:

Q: 9. Determine if these lines are parallel lines, perpendicular lines, or neither. L: 5x-2y= 6 L :…

A:

Q: Decide by yourself whether each of the following is true or false. Check your answers with the…

A:

Q: If l1 is parallel to l2 and m1 = - 1/4, then m2 is

A: When two lines l1 and l2 are parallel to each other having slope m1 and m2, then their slopes are…

Q: Question 4: Determine if the given lines are parallel, perpendicular, or neither: m: 2x+ 3y = 1 and…

A:

Q: 1. The slopes of perpendicular lines are opposite reciprocals. True False

A: The given data is: The slope o perpendicular lines are opposite reciprocals.

Q: Determine whether the lines 4 y – 14 z – 7 L : 1 6 and z + 2 x - 2 L2 : -3 y + 2 -18 -12 intersect,…

A: Let's find.

Q: Three or more lines are _____ if theey all intersect at only one point a. Intersecting b. Parallelc.…

A: Three or more lines are concurrent if they all intersect at only one point.

Q: If lines B and C are parallel and mz1 = x°, then mz5 = A 3. 5/6 7. 4. B 8. O 90° O 180° - x° O 9° –…

A: Vvvvvv

Q: a) Which lines on the figure at the right would be (a) parallel (b) perpendicular lines i the…

A:

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A: Consider the given line L1 and L2.…

Q: L1:x = 1+ 2t, L2:x = 2 – s, y = -1 - t, y = 3s, z = 3t, z = 1+ s, -00 <t< 0 -00 <t< 0

A:

Q: Given that a particular line, AB, passes through the points (6, 12) and (8, 18): a) Determine the…

A: Given that a particular line, AB, passes through the points (6, 12) and (8, 18): a)To  Determine the…

Q: 1. a. Name a pair of parallel lines. b. Name a pair of skew lines.

A: Parallel lines are the two straight lines in a plane which do not intersect each other. To recognize…

Q: 2. Two friends live in New Square City, one at the corner of 3rd St. and 7th Ave. and the other at…

A: Let A be the friend who stays at the corner of 3rd St. and 7th Ave. Let B be the friend who stays at…

Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. X - Y - 3 z - 2 %3D 3 х—…

A: Given that the two lines     L1: x/1 = (y - 1)/3 = (z - 2)/3    L2: (x - 3)/-3 = (y - 10)/-6 =…

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A:

Q: Find the equation of one of the angle bisectors of lines l and m such that 2 %3D -2 = 8 guenfT onal…

A: If the equation of line in Cartesian form is x-x1a=y-y1b=z-z1c=λ then its vector form is…

Q: 1. Determine if the following lines are parallel, intersecting, or skew a) x= 4 +5t b) y = -2t c) z…

A: Given:  a) x=4+5tb) y=-2tc) z=1+3td) x=10s, y=6+4s, z=4+6s

Q: a) Name two lines that are parallel b) name two lines that are perpendicular M K S to

A: A) For parallel lines

Q: Question 5. , Which of the following statements is true about the lines L1 : x= 4 – 2t, y = 2+ 2t, z…

A:

Q: The equations of three lines are given below. Line 1: 4x+6y=-4 Line 2: 3y=-2x+7 Line 3: y= For each…

A: Given lines: Line 1:   4x+6y=-4Line 2: 3y=-2x+7Line 3: y=-23x-4

Q: On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if…

A: Given that: Slopes of the sides of the quadrilateral are given.

Q: The pair of lines defined by the equations y =- 3x + 1 and y =-1/3x + 1 are A. parallel to each…

A: The given lines y=-3x+1 and y=-13x+1

Q: 1. Find the angle between the lines L1:x = 3 + 8t, y = -6t, z = -7 + 24t and L2:x = 3 + 8t, y = 15t,…

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Q: 3y + 5 17x- 70 5y+ 15 2x + 5

A: According to figure 17x-70=3y+5                                                        vertically…

Q: А) 9/7 B 3/7 3.

A:

Q: 4-Sy. dA, where R is the parallelogram enclosed by the lines x- Sy - 0, x- Sy 9, 4x-y 1, and x- y=7…

A:

Q: 1) a) What does it mean for two lines to be parallel? b) What does it mean for two lines to be…

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Q: Which of the following statements is true about Line A: 3x +y = and Line B: 3x +y= :? O The slopes…

A: Writing the given line equations in slope intercept form i.e y = mX +C.

Q: Find the equations of the lines gCB and gac of DABC if C(2,-7), perpendicular line to gca is ha:…

A: First find the slope of the line CB and point A then wriye the equation of both the lines.

Q: Given the points A(5,-8), B(-2,-10), C(-6,-13) and D(-2, 1). Is AB Perpendicular to CD? Yes or no

A: Given query is to find AB is perpendicular to CD or not.

Q: Determine whether the lines Li :x = 10 + 2t, y= 3+t, z = 12 + 3t and L2 : x = -2 + 3s y = -6+ 3s z =…

A: The objective is to determine whether the given lines intersect, are skew, or are parallel. Given…

Q: Given the four points A(-3,5), B(1,13), C(4, 2) and D(10, 5) are AB and CD parallel? Justify.

A: In the given question we have to prove that line  AB || CD where A(-3,5), B(1,13), C(4,2), D(10,5)

Q: 46. If the lines a¡x + b¡y = c1 and a2x + b2y = c2 are %3D parallel, what can you say about the…

A: Topic:- parallel lines