A vector is an arrow whose length represents the magnitude of quantity in whose direction represents the direction of the quantity.  Velocity is an example of a vector quantity.  Velocity in one direction is different from velocity in another direction.  When drawing vectors draw arrows in the direction of which it is going.  The head of the arrow is the point and the other end is the tail.  Look at the picture below.

        Adding vectors

1)    When adding vectors make sure they are in the same units.

2)    Connect the vectors head to tail without changing the magnitude of the arrow or changing the direction of the arrow.

3)  Once all the vectors are connected, draw one last vector going from the tail of the first vector to the head of the last vector.  This will be called the resulting vector.

Example of adding vectors

Hints:
First draw in all forces acting on the tiger.  (There should be three forces).  Then draw in components. (The force of man should be broken into components).  Then and together the force vectors to find the resultant force. (The force up by the man should equal the force down of gravity by the tiger).  (The force of man across should equal force of friction which equals coefficient of friction multiplied by force normal)
Scalar has only magnitude and no direction. Temperature is an example of a scalar.