5- Find the distance from the point to the line. a. (0,0, 12); x = 4t, y = -2t, z = 2t b. (0, 0, 0); x = 5 + 3t, y = 5+4t, z= -3 - 5t

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: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: Determine the intersection point of the two lines or show that they do not intersect. a. The line…

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: Find the distance, to the nearest hundredth, between the given points. P1(3, 7) and P2(5, 1) Find…

A: Given : P13,7 and P25,1

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find the distance of the point (3, 2, –4) from the line r(t) = (1+ 3t, –1+ 2t, 3 – 3t).

A: for finding distance of the point3,2,-4 from line rt=1+3t, -1+2t, 3-3t we assume a point1+3t, -1+2t,…

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

A:

Q: 4:x=1+21, y =-2+t, z=4-t 1, :x = 5–3s, y= 4- z = 2+

A:

Q: Q.5 Find the length of the line segment connecting points A and B located at (-2,5)(1,1)…

A:

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A:

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: 2. Find the line L passes through the point (-2,2) and perpendicular to the line L: 2x+y= 4.

A:

Q: 6. What are the coordinates of the midpoint of the line segment with endpoint (-5, -2) and (3, -2)?…

A:

Q: 10. Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3,…

A:

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: 21. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: Find the distance between two lines ()1=4-x , y;=- (x+2).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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 distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

A:

Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

A:

Q: Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? OA ya-s 3 y =…

A:

Q: d the eqation of the line that passes through A(1,2,1) and intersects the line x+1 у-2 z+1 %3D at…

A: Topic:- geometry

Q: Find the distance, to the nearest hundredth, between the given points. P1(−5, −3) and P2(4, −2)…

A:

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

A:

Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

A:

Q: Find the distance from the point (4, 4, 3) to the line x=0 ,y=4+t ,z=3+4t

A:

Q: The distance from the point S(-7, -9, 3) to the line x = -7 + 4t, y = -8 + 12t, z=7+3t 2297

A: I have append the formula used in the solution part

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

A:

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

A:

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: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

A:

Q: Find the distance from the point S(- 6,6,8) to the line x = 6t, y = 4t, and z = 4t. The distance is…

A: The given equation of line is: x=6t,  y=4t,  z=4t

Q: Find the distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

A:

Q: 18. Which line is perpendicular to the line y = 2x + 3? *

A: To find the correct option

Q: A В Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1,…

A:

Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

A:

Q: Determine B such that the line 3x+2y-7=0 is perpendicular to 2x-By+2=0.

A:

Q: Find | x?z ds, where C is the line segment from (0,-2,-3) to (5,-1,0)

A: Given problem:-

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

A:

Q: Find the perpendicular distance between the lines ( y=2x+7) and ( y=2x+5)

A: Given two lines are: y=2x+7         .............(1)y=2x+5         ..............(2)

Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p…

Q: Find the distance between the pair of points. 6 (-) m () 6 -5.13 and 5, 13

A: Here given p[oints as Use the distance formula between two points which states

Q: nd the point of intersection of the lines: = 4x + 1 and y = -2x + 4 1,2) 1,2) 2,9) ,3)

A: All points of intersection satisfy both curve(lines) .  Hence , for point of intersection  We equate…

Q: 7. In the standard (x, y) coordinate plane, the point (2,7) is the midpoint of the line segment with…

A: