EXERCISE

How a vector may be subtracted from another vector?

State polygon rule of addition of vectors.

A large number of vectors are found to form a closed polygon when placed one after another by parallel displacements. What does that imply?

What are free vectors? Are all vectors of this nature?

Define scalar product of two vectors. Give one example of such a product.

Define vector product of two vectors. Give one example of such a product.

Write down two vectors in terms of unit vectors $i, j$ and $k$. Then find their scalar and vector product.

Express a vector in terms of the direction cosines.