What is the physical state of vitamin E acetate at room temperature and normal pressure
Vitamin E acetate, or α-tocopheryl acetate, exists in two forms: D-form (solid/highly viscous at 20 °C) and a racemate (viscous liquid at 20 °C).
Interestingly enough, the difference in physical properties is well denoted in German Wikipedia article, whereas English Wikipedia omits this.
Also, I noticed many authoritative sources arbitrarily listing a melting point for one or another isomer without denoting the exact form, e.g. even CRC Handbook of Chemistry and Physics provides a single entry for vitamin E acetate with melting point −27.5 °C [1, p. 3-550], so no wonder online sources and sellers mix the things up a little. 

More relevant details can be found in Handbook of Pharmaceutical Excipients [2, p. 32]:


  d-Alpha tocopheryl acetate
  
  Empirical formula $\ce{C31H52O3}$
  Molecular weight 472.73
  CAS number [58-95-7]
  Synonyms (+)-(2R,4'R,8'R)-2,5,7,8-Tetramethyl-2-(4',8',12'-trimethyltridecyl)-6-chromanyl acetate; d-α-tocopheryl acetate; vitamin E.
  Appearance A practically odorless, clear, yellow, or greenish-yellow colored viscous oil that may solidify in the cold.
  Melting point 28 °C
  Solubility Practically insoluble in water; soluble in ethanol (95%). Miscible with acetone, chloroform, ether, and vegetable oils.
  Specific rotation $[α]_\mathrm{D}^{25} = +0.25^\circ$ (10% w/v solution in chloroform)
  Comments Unstable to alkalis.
  
  dl-Alpha tocopheryl acetate
  
  Empirical formula $\ce{C31H52O3}$
  Molecular weight 472.73
  CAS number [7695-91-2]
  Synonyms (±)-3,4-Dihydro-2,5,7,8-tetramethyl-2-(4,8,12-trimethyltridecyl)-2H-1-benzopyran-6-ol acetate; (±)-
  (2RS,4'RS,8'RS)-2,5,7,8-tetramethyl-2-(4',8',12'-trimethyltridecyl)-6-chromanyl acetate; (±)-a-tocopherol acetate; α-tocopheroli acetas; all-rac-α-tocopheryl acetate; dl-α-tocopheryl acetate; vitamin E.
  Appearance A practically odorless, clear, yellow, or greenish-yellow viscous oil.
  Density $\pu{0.953 g/cm3}$
  Melting point –27.5 °C
  Refractive index $n_\mathrm{D}^{20} = \pu{1.4950 – 1.4972}$
  Solubility Practically insoluble in water; freely soluble in acetone, chloroform, ethanol, ether, and vegetable oils; soluble in ethanol (95%).
  Comments Unstable to alkali. However, unlike alpha tocopherol, the acetate is much less susceptible to the effects of air, light, or ultraviolet light. Alpha tocopherol acetate concentrate, a powdered form of alpha tocopherol acetate, is described in the
  PhEur 6.0. The concentrate may be prepared by either dispersing alpha tocopherol acetate in a suitable carrier such as acacia or gelatin, or by adsorbing alpha tocopherol acetate on silicic acid.


D-form may appear as a highly viscous oil, however it will become solid over time [3, p. 232] (emphasis mine):


  D-α-Tocopheryl acetate. CAS: 58-95-7. Obtained by vacuum steam distillation
  and acetylation of edible vegetable oil products. Occurs colorless to yellow, nearly
  odorless, clear, viscous oil. May solidify on standing, and melts at about 25 °C.
  Unstable in presence of alkalies.
  
  DL-α-Tocopheryl acetate. CAS:7695-91-2. Colorless to yellow or greenish yellow, nearly odorless, clear, viscous oil. Unstable in presence of alkalies.
  
  D-α-Tocopheryl acetate concentrate. Obtained by vacuum steam distillation and
  acetylation of edible vegetable oil products. May be adjusted by suitable physical
  or chemical means. Occurs as light brown to light yellow, nearly odorless, clear,
  viscous oil.


References


Haynes, W. M.; Lide, D. R.; Bruno, T. J. CRC Handbook of Chemistry and Physics: A Ready-Reference Book of Chemical and Physical Data, 97th ed.; CRC Press, 2016. ISBN 978-1-4987-5429-3.  
Handbook of Pharmaceutical Excipients, 6th Ed.; Rowe, R. C., Ed.; APhA, (PhP) Pharmaceutical Press: London, 2009. ISBN 978-0-85369-792-3.  
Food Additives, 2nd Ed., rev. expanded.; Branen, A. L., Ed.; Food science and technology; Marcel Dekker: New York, 2002. ISBN 978-0-8247-9343-2.