Eg.2: Given vectors a and b , draw the following: ( a is 3 squares right, b is 2 squares diagonally right). Use grid board or graph paper. a) 3 a+ 2b b ) - 2a+ 3b c) 0.5 a- 2b The vectors drawn above are called linear combinations of a and b . They all have the form ja+ kb where j and k are scalars.Eg.1: Simplify the following expression: 4 3a-b+2c - 2a-46+3cEg.2: If x =2i-3 j+4k, y=5 j-2k and z= -i-2 j+3k , then determine each of the following in terms of i , j and k . - a) xty b) x- C) x- 2y+3zThe xy-plane is often referred to as , which means that each of the x and y coordinates for any point on the plane is a real number. Cartesian Vectors are vectors drawn on the Cartesian plane and are represented by an ordered pair, with square brackets. Ie: 5A=[2,2] 0:1 is called the because it is drawn with the tail on the origin. Any vector that can be drawn from the tail to the head by moving over 2 units right and up 2 units can be represented by [2 , 2]