Why is dot product scalar?

Related questions

1. Why is cos used in dot product?
2. Is cross product sin or cos?
3. What is the scalar triple product?
4. What's the purpose of dot product?
5. What is rectangular parallelepiped?
6. What is scalar triple product?
7. Why dot product is a scalar?
8. What is a 3d trapezoid called?
9. What does scalar product represent?
10. What is the dot product geometrically?

Tags

1. #negation
2. #multiply
3. #cross
4. #vector
5. #product
6. #scalar
7. #vectors
8. #together
9. #called
10. #inner
11. #before