Prob46, vector multiplication, cross product

Discussion in 'Math' started by PG1995, Apr 15, 2012.

  1. PG1995

    Thread Starter Active Member

    Apr 15, 2011
    753
    5
    Hi

    Please have a look on the attachment and kindly help me with the query, Q1, there.

    Q2: I understand that coplanar vectors are those which exist on the same same plane. The unit vectors i, j, and k are non-coplanar vectors and are perpendicular to each other (in other words the planes in which they exists are at 90 degrees to each other). Is it necessary for non-coplanar vectors to be be perpendicular to each other.

    Thank you for the help.

    Regards
    PG
     
    Last edited: Apr 15, 2012
  2. Papabravo

    Expert

    Feb 24, 2006
    10,140
    1,789
    Q2: vectors that are not co-planar are not required to be orthogonal (perpendicular). If we are talking about basis vectors the answer is still no. It is perfectly acceptable to define a coordinate system inn which the basis vectors are not orthogonal.
     
    PG1995 likes this.
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