will a given vector have unique direction ratios

Question

can we conclude that a given vector has unique direction ratios and not infinite like a straight line.

as direction ratios are unique and are equal to the direction cosines in case of a unit vector,hope for a given finite vector,the direction ratios are fixed and can not be infinite.

Answer 1

No , the direction cosines are unique , there are infinitely many direction ratios .

Direction cosines are the cosines of angles made by the vector with the positive X,y and z axes , where the direction ratios are multiples of the direction cosines .

Answer 2

Yes, you are right direction ratios are unique for a given unified vector,but direction ratios can be infinite of a same direction cosines vectors