ul MTN ,11:44 PM@ 46%YouAll Media17/02/2021, 7:16 PMDepartment of MathematicsUniversity of GhanaMath123: Vectors and GeometryModule 4: Exercise 3Module 4 (Lines in Space)TK/GAB/JB/EKAS/KD/JDGM15/02/2021Consider the line li joining the points A(-5,-3,0) and B(7, 1,4).1. Find the parametric equation of the line.2. Show that the point C(1, -1, 2) lies on the line.3. Show that the point D(-4, 3, 2) is not on the line.4. Find the foot of the perpendicular Q from D to the line and determine the shortestdistance between the point and the line.5. The line l, intersects the line la given by r 12i-3j + 4k + 4(-8i + 3j -k).(a) Find the position vector of the point Rof intersection.(b) Find the angle between the two lines.(c) Find the equations of the internal and extemal bisectors of the angle between thelines and l2.(d) The point D is on l. Find a point D' such that DO = QD.(c) Find the equation of the line joining R and D'.(f) Show that l4 is the bisector of angle DRD. Line is the mirror image of the linelz in 1]Figure 1:Is it this please

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Consider the line li joining the points A(-5,-3,0) and B(7,1,4). 1. Find the parametric equation of the line. 2. Show that the point C(1,-1,2) lies on the line. 3. Show that the point D(-4,3,2) is not on the line.

Consider the line li joining the points A(-5,-3,0) and B(7,1,4). 1. Find the parametric equation of the line. 2. Show that the point C(1,-1,2) lies on the line. 3. Show that the point D(-4,3,2) is not on the line.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section: Chapter Questions

Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...

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Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

ul MTN ,
11:44 PM
@ 46%
You
All Media
17/02/2021, 7:16 PM
Department of Mathematics
University of Ghana
Math123: Vectors and Geometry
Module 4: Exercise 3
Module 4 (Lines in Space)
TK/GAB/JB/EKAS/KD/JDGM
15/02/2021
Consider the line li joining the points A(-5,-3,0) and B(7, 1,4).
1. Find the parametric equation of the line.
2. Show that the point C(1, -1, 2) lies on the line.
3. Show that the point D(-4, 3, 2) is not on the line.
4. Find the foot of the perpendicular Q from D to the line and determine the shortest
distance between the point and the line.
5. The line l, intersects the line la given by r 12i-3j + 4k + 4(-8i + 3j -k).
(a) Find the position vector of the point Rof intersection.
(b) Find the angle between the two lines.
(c) Find the equations of the internal and extemal bisectors of the angle between the
lines and l2.
(d) The point D is on l. Find a point D' such that DO = QD.
(c) Find the equation of the line joining R and D'.
(f) Show that l4 is the bisector of angle DRD. Line is the mirror image of the line
lz in 1]
Figure 1:
Is it this please

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