Shri Dixitar and Shri Raja Ganapathi

Vandana Trayee

In the orthodox Hindu tradition, before starting anything one salutes one's Guru, Ganesha and Saraswati. These three salutations are called Vandana Trayee. The three short salutations with beeja mantras are as follows:
For Guru: Om Gum Gurubhyo Namah

For Ganesha: Om Gam Gloum Ganapataye Namah

For Saraswati: Om Aim Kleeng Sauh Saraswatiyai Namaha

The VandanaTrayee in verses form as follows:

GURU:
"Gurur Brahma gurur Vishnu gurur devo Maheswarah
Gurur sakshat parambrahmah tasmi sri gurave namah" 
(For those who do not have a guru add the following verse for Guru Dakshinamoorti, i.e., Lord Shiva in his incarnation as the Guru of the world
Nidhaye sarva vidyanam bhishaje bhava roginam
Gurave sarvalokanam Dakshinamoortaye namah)

GANESHA:
"Om Gananam twa ganpati gum havamahe Kavimkavina mupamashravastarm
Jyestharajam Brahmanam Brahmanaspata aanas-shrunvotibhi- seedhasadhanam
Maha Ganapataye Namah"

SARASWATI:
"Prano Devi Sarawati vajebhirvaajinivati 
Dhinama vitriyavatu Vaagdevyai Namah"