Can a vector be multiplied with both dimensional and non-dimensional scalr ?

Explanation

Yes, when a vectro is multiplied with a dimensional scalar, the resultant vector will have different diemensions. For example, if acceleration vector is multant vector has the dimnsions ot forec.
When a vector is multplied with non-dimensional scalr, it will be a vector havubg dunebsions as that of the gi en vector.