Vectors

Subdecks (2)

Cards (16)

  • How to find vector coordinates?
    By minus coordinates of end point from start point
  • Vectors equality: Vectors are equal if?
    they have the same magnetude and direction
    or
    a=a =(a1a2a3),b=\begin{pmatrix} a_1 \\ a_2 \\ a_3 \\ \end{pmatrix}, b =(b1b2b3),thena= \begin{pmatrix} b_1 \\ b_2 \\ b_3 \\ \end{pmatrix}, then \, a=ba1=b \leftrightarrow a_1=b1,a2=b_1, a_2=b2,a3=b_2, a_3=b3b_3
  • Linear dipendency means, that vectors can be expressed one through another
  • The magnitude or length of a vector is caculated by formula:
    v=|v| =v12+v22+v32 \sqrt{v_1^2+v_2^2+v_3^2}
  • How to find the vector between 2 point?
    Substract coordinates of the first point from the coordinates of the second point.
  • A set of vectors in linearly independant if a sum of those vectors is equal to 0 zero only if all vectors are multiplied by 0.
  • A set of vectors is lenearly dependant if there exist numbers (except 0), at which vectors can be multiplied, such that the sum of those multiplied vectors will be zero.
  • Two vectors are orthogonal when their product returns a vector of 0.