MATM1544_lecture 22.pdf - The image part with relationship ID rId7 was not found in the file MATM1544 LECTURE 22 Lines and planes September 2 2015 T

MATM1544_lecture 22.pdf - The image part with relationship...

This preview shows page 1 - 4 out of 9 pages.

9/2/2015 1 The image part with relationship ID rId7 was not found in the file. T: +27(0)51 401 9111 | [email protected] | MATM1544 LECTURE 22 Lines and planes September 2, 2015 T: 051 401 9111 [email protected] CONTENT Vector equation of a plane Examples Exercise
Image of page 1
9/2/2015 2 POSITION VECTORS ON LINES AND PLANES Any point on a line or a plane has a position vector. This vector is measured from the origin (O) with co-ordinates (0, 0, 0). The position vector will then be the same as the vector. If co-ordinates of A = (1, 2, 3), then °± = A − O = 1,2,3 − 0,0,0 = (1,2,3) THE VECTOR EQUATION OF A PLANE C is any point on the plane with position vector ² . ³ and ´ are any two vectors in the plane, not parallel. R(x,y,z), with position vector µ , is a general point on the plane. ¶· = ¸³ + ¹´ , with ¸ and º parameters. Then µ = °¶ + ¶· = ² + ¸³ + ¹´ : »¼½¾¿À ¼ !"¾#¿$ ¿% ¾&¼ ’("$¼.
Image of page 2
9/2/2015 3 THE VECTOR EQUATION OF A PLANE Vector equation of a plane is: µ = ² + ¸³ + ¹b µ = +,-./.,0 12²/,µ = 3, 4, 5 ² = ³04 +,.0/ ,0 /62 +7³02 ³ = ³04 12²/,µ ,0 /62 +7³02 ´ = ³04 12²/,µ ,0 /62 +7³02 ¸ ³08 ¹ = 2 ²,0-/³0/ 1³792-
Image of page 3
Image of page 4

You've reached the end of your free preview.

Want to read all 9 pages?

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes