1) Given vectors A=(2,3) and B=(3,2) find two perpendicular vectors C and D such that C+D=A and the vector C is in the direction of B.

2) Explain how can you determine is a point is inside a triangle or not.

3) Given the triangle vertices (1,1) (2,2)(3,1) find the barycentric coordinates of the point (1.5,1.0).

4) Given a line segment with vertices (1,1) (3,2) find the value that will be assigned at (2,1) assuming a 3x3 subdivision of each pixel into subpixels.

5) given an image having the value of 2 in each cell, write the value of the pixels in this image after applying a convolution filter having all 1-s in its entries.