**Level:** F.Sc (Pre-Engg)**Class:** 2nd Year**Board:** Punjab Textbook Board**Subject:** Mathematics**Chapter No.7:** Vectors**Exercise:** 7.2**Type:** Solution Notes**Author:** Prof. Ahmad Ali**Pages:** 12**PDF Size:** 5.88 MB

**In this exercise we will read these topics:**

- Introduction of a vector in space.
- Discuss the addition and subtraction of two vectors in space.
- Find the magnitude, length, a norm of a vector in space.
- Properties of a vector in space.
- State and prove a commutative property of addition of vector in space.
- State and prove the associative property of addition of vectors in space.
- State and prove the additive inverse of a vector in space.
- State and prove the distributive property of a vector in space.
- State and prove scalar multiplication property of a vector in space.
- Write the form of the vector in space.
- State and prove distance formula.
- Define direction angles and direction cosines of a vector.