Question: Given that the two lines l1 and l2 intersect in the point A(1,2,3), find the equation of the plane containing these two intersecting lines. (

Given that the two lines l1 and l2 intersect in the point A(1,2,3), find the equation of the plane containing these two intersecting lines.

( b ) ( 5 points ) Given that the two lines " : " = 3 + 21 , 4 = 5 + 31, 2 = 7 + 41. and 12 : 2 = 2 + 5. 4 = 1 + 25, 2 = - 1 - 45 intersect in the point. A( 1, 2, 3 ), find the equation of the plane containing these two intersecting lines

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Mathematics Questions!

Hi can someone help me with this questions please and show all working Consider two lines L1 and L2; L1 : 1' = (2, 3, 1)+ A(1, 2, 1) L2: 1' = (2, 3, 1)+ p,(2,1, 0) Find the scalar equation of the...

(a) Use the identity for tan(x - y) (see Equation 14b in Appendix D) to show that if two lines L1 and L2 intersect at an angle , then tan = m2 - m1 / 1 + m1m2 where and are the slopes of and ,...

Part A: Knowledge (16 marks) 1. Let L, be the line with vector equation r = (-2,3) + s(-1,3), s E R. Let L2 be the line with parametric equations x = 3t + 2, y = t - 7, t E R. Are the two lines...

Let P (x,y) be any point on the line. Visualize P moving back and forth along the line. As it moves, points 0, A, and P always form a triangle in which the triangle law is satised: Since AP is...

Let a and b be two constants. Two lines L1 and L2 are given as follows: L = at, y=1-t,z=t+1,tR L2x=s,y=bs, z=s, sR (1) Suppose L1 and L2 are parallel. Find the values of a and b. (2) For the values...

You are expected to demonstrate vector techniques from Topic 1. Using alternative methods will result in low or no marks. 1. (a) Show that the vectors v = i + 3j + 5k and w = 2i 4j + 2k are...

Two points on L 1 and two points on L 2 are given. Determine if lines L 1 and L 2 are parallel, perpendicular, or neither. L 1: (-7, 3) and (1, 8) L 2: (2, 9) and (-6, 4) Write the lines in...

5 page2.jpg" />9 page6.jpg" />5 page1.jpg" />5 page2.jpg" />6 page2.jpg" />5 page1.jpg" />9 page6.jpg" />9 page5.jpg" />9 page5.jpg" />9 page4.jpg" />9 page3.jpg" />8 page3.jpg" />8 page2.jpg" />8...

Vectors+Dot Product + Cross Product (1) Findavector v with representation given by the directed line segment AB. Draw AB and the equivalent position vector where: A = (0,6, 1), B = (3,4,4) (2) Sketch...

Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (4, 1,7), b = (3, 6, 3) approximate :l Consider the points below. P(3, 0, 0), Q(0,...

Ground telescopes view the light coming from celestial objects through the turbulent atmosphere of the Earth. The distortion effect this turbulence causes to the light passing through it is called:...

Beka Borke has prepared the following list of statements about accounting information systems. 1. The accounting information system includes each of the steps of the accounting cycle, the documents...

Time Remaining 1 hour 4 7 minutes 0 1 : 4 7 : 0 0 Item 1 2 Time Remaining 1 hour 4 7 minutes 0 1 : 4 7 : 0 0 Which of the following statements is true? Under variable costing, fixed manufacturing...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...