Vectors

• 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 =$$\begin{pmatrix} a_1 \\ a_2 \\ a_3 \\ \end{pmatrix}, b =$$\begin{pmatrix} b_1 \\ b_2 \\ b_3 \\ \end{pmatrix}, then \, a=$$b \leftrightarrow a_1=$$b_1, a_2=$$b_2, a_3=$$b_3$
• Linear dipendency means, that vectors can be expressed one through another
• The magnitude or length of a vector is caculated by formula:

  $|v| =$$\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.