Recent content by rainez

  1. R

    Verifying Point (3,1,6) Lies on Both Planes ∏1 and ∏2

    Homework Statement The planes ∏1 and ∏2 have equations 3x - y - z = 2 and x + 5y + z = 14 respectively. Show that the point (3,1,6) lies on both planes. The Question: By finding the coordinates of another point lying in both planes, or otherwise, show that the line of intersection of ∏1...
  2. R

    Proving the vector OA is normal to the plane OBC

    Thank you very much for your help! :smile:
  3. R

    Proving the vector OA is normal to the plane OBC

    Homework Statement Given position vectors: OA ( i + 2j - k) ; OB ( -i + 2j +3k); OC ( 2i + j + 4k) Given that OA is perpendicular to OB. The Question : Show that OA is normal to the plane OBC. Homework Equations r . n = d To find the normal of the plane OBC, I used n = BO x...