Let L 1 be the line through the origin and the point (2, 0, 1) Let L 2 be the line through the points (1, 1, 1) and (4, 1, 3) Find the distance between L 1 and L 2

Question: Let L 1 be the line through the origin and the point (2, 0, -1). Let L 2 be the line through the points (1,

Let L₁ be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1, -1, 1) and (4, 1, 3). Find the distance between L₁ and L₂.

Step by Step Solution

★★★★★

3.48 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A direction vector for L is v 201 and a direction vector for L is v 322 These vectors are not parall... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Let ¬ be the line through the origin in R2 with direction vector Use the method of Example 6.85 to find the standard matrix of a reflection in . dz

Let L be the line through the origin in R2 with direction vector = [a b]T 0. If PL denotes projection on L, show that PL has matrix 1 ab a +b ab b - u

Let T: R3 R3 be multiplication by (a) Show that the kernel of T is a line through the origin, and find parametric equations for it. (b) Show that the range of T is a plane through the origin, and...

Evaluate the function. If the value is not a rational number, round your answer to three decimal places. (a) csch(In 2) (b ) coth(In 5) Need Help? Read It [-/1 Points] DETAILS LARCALC11 5.9.019. Use...

6. Let A = point) 7. If A = -3 20 3 1 0 52 a) A = 131 -3] L 12 and B 4 2 1 132 and AB = a 8. Let u = --[1] -3 9. Determine which matrix is invertible. (1 point): 2 and v= b 2 02 a) 3 -1 0 ; b) 4 02...

Let L R2 be a line through the origin, and let b 6 R2 be any point. (a) Find a geometrical construction of the closest point x e L to b when distance is measured in the standard Euclidean norm. (b)...

Consider the equation of the tractrix y = a sech -1 ( ) - Va2 - x2, a > 0. (a) Find dy dy 12 _ - al Va2 - x 2 ay = dx x Va 2 X (b) Let L be the tangent line to the tractrix at the point P. When L...

Let L R2 be a line through the origin in the direction of the unit vector u. (a) Prove that the matrix representative of reflection through L is R = 2uuT - 1. (b) Find the corresponding formula for...

Question 2. ? Math 1100 Midterm 2 April 1 First and Last Name: UnID: Instructions: You have time till 11:59 pm tomorrow (April 2) to complete the exam. Show all your work. Partial credit may be given...

PLEASE POST THE FUNCTION WITH CODE PLEASE DO NOT GIVE THE "DIRECTIONS" OR "GUIDE" ON HOW TO DO IT. THANK YOU Problem Statement: Create a function named tc1ip that determines the intersection of a...

Compare the values of the two quantities in the question and answer. Quantity 1: A boat takes 3 hrs. 20 min. to travel 40 km upstream and 2 hrs.40 min. to travel the same distance in still water. How...

All decisions are ethical decisions. Comment on this statement, particularly by referring to the concepts of moral intensity and ethical sensitivity.

Qu ley establece el derecho del paciente a elegir el proveedor de servicios de salud? Ley Nm. 82 de 1973. Ley Hipaa de 1996. Ley Nm. 72 de septiembre de 1993. Ley Nm. 254 de 2015

What are the basic differences between basalt and granite, the two most common igneous rocks of Earths crust? In what part of Earths crust are basalt and granite most common? Explain.

Evaluate and simplify the following derivatives. d/dx (2xx 2 - 2x + 2)

Evaluate the derivatives of the following functions. g(z) = tan -1 (1/z)

A bug is moving along the right side of the parabola y = x 2 at a rate such that its distance from the origin is increasing at 1 cm/ min. At what rates are the x- and y-coordinates of the bug...

Forbes measure the boiling point of water in the Alps (in degrees F) and the air pressure (in inches of Hg). The SPSS output and a plot of the data are shown below (and also in FIGURE 37-A ). The...

Programming \#3 (10 points) Write a program that prompts the user to enter the coordinates of two points (x1,y1) and (x2,y2), and displays the slope of the line connects the two points. The formula...

Steve and Ed are cousins who were both born on the same day, and both turned 25 today. Their grandfather began putting $2,500 per year into a trust fund for Steve on his 20th birthday, and he just...