Homework Help is Here – Start Your Trial Now!
Math
Algebra
Vequations of (d). Find the result of a). 29 1° Show that the vectors u (1; 2; 1) and v (3; 6; 2) are not collinear. 2° Determine the coordinates of a non-zero vector w and distinct from u and v , such that u, v and w coplanar. 3° Show that the points A (1 ;0; 2), B (1 ; 1;0) and C(2,2,-1) are not collinear. Then wri. system of parametric equations of the plane(ABC). A.B, C and D are coplanar

Vequations of (d). Find the result of a). 29 1° Show that the vectors u (1; 2; 1) and v (3; 6; 2) are not collinear. 2° Determine the coordinates of a non-zero vector w and distinct from u and v , such that u, v and w coplanar. 3° Show that the points A (1 ;0; 2), B (1 ; 1;0) and C(2,2,-1) are not collinear. Then wri. system of parametric equations of the plane(ABC). A.B, C and D are coplanar

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
See similar textbooks
icon
Related questions
Question

Can u solve number 29 plz

ATAL Pm MOUS To go furller 28 Consider (O : OA , OB ,OC ) an orthonormal system in space. Let G be the center of gravity of angle ABC. C\ co Calculate the coordinates of G. ABCDEFGH is a cube. The space is referred to a direct orthonormal system (A; AB ,AD ,AE). 2° Consider the points A' (2;0; 0), B' (0 ; 2; 0) and C' (0 ; 0 ; 3). E a Verify that these three points define a plane. non-colliner 1,J, K and L are points defined as: Write a system of parametric equations of the plane (A'B'C'). DC ,BJ = 4. 39 Write a system of parametric equations of line (AC). 1° Find the coordinate of all points in this 4° Verify that K (4; 0-3) is the trace of the line (AC) with the plane (A'B'C'). figure. 50 5 Verify that line (BC) cuts the plane (A'BC'/at L (0; 4 ;-3). 6 Verify that (AB), (A'B') and (KL) are parallel. 2° Show that K lies in plane (EGJ) . b Determine the intersection (d) of the two planes (ABC) and (A'B'C'). Write a system of parametric equations of (d). Find the result of a). 3° a) Show that EKIH is a parallelogram. b) Deduce that (HI) is parallel to plane (EGJ) . 29 1° Show that the vectors u (1 ; 2; 1) and v (3 ; 6; 2) are not collinear. 2° Determine the coordinates of a non-zero vector w and distinct from u and v , such that u, v and w are 4° Given the point M coplanar. Show that M is on line (IG) for all a. 3° Show that the points A (1;0; 2), B (1;i;0) and C (2,2,-1) are not collinear. Then write a system of parametric equations of the plane(ABC). 5° Find the coordinates of K in the system (C ; 4° Find the coordinates of point D distinct from A , B and C such that A, B,C and D are coplanar. 294 plane: coplanar
Transcribed Image Text:ATAL Pm MOUS To go furller 28 Consider (O : OA , OB ,OC ) an orthonormal system in space. Let G be the center of gravity of angle ABC. C\ co Calculate the coordinates of G. ABCDEFGH is a cube. The space is referred to a direct orthonormal system (A; AB ,AD ,AE). 2° Consider the points A' (2;0; 0), B' (0 ; 2; 0) and C' (0 ; 0 ; 3). E a Verify that these three points define a plane. non-colliner 1,J, K and L are points defined as: Write a system of parametric equations of the plane (A'B'C'). DC ,BJ = 4. 39 Write a system of parametric equations of line (AC). 1° Find the coordinate of all points in this 4° Verify that K (4; 0-3) is the trace of the line (AC) with the plane (A'B'C'). figure. 50 5 Verify that line (BC) cuts the plane (A'BC'/at L (0; 4 ;-3). 6 Verify that (AB), (A'B') and (KL) are parallel. 2° Show that K lies in plane (EGJ) . b Determine the intersection (d) of the two planes (ABC) and (A'B'C'). Write a system of parametric equations of (d). Find the result of a). 3° a) Show that EKIH is a parallelogram. b) Deduce that (HI) is parallel to plane (EGJ) . 29 1° Show that the vectors u (1 ; 2; 1) and v (3 ; 6; 2) are not collinear. 2° Determine the coordinates of a non-zero vector w and distinct from u and v , such that u, v and w are 4° Given the point M coplanar. Show that M is on line (IG) for all a. 3° Show that the points A (1;0; 2), B (1;i;0) and C (2,2,-1) are not collinear. Then write a system of parametric equations of the plane(ABC). 5° Find the coordinates of K in the system (C ; 4° Find the coordinates of point D distinct from A , B and C such that A, B,C and D are coplanar. 294 plane: coplanar
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS