Hi folks first post, i am a 20yr old student from north-west england, hope you guys can help me and i can return the favour some time. 1) How can the vector product be used to show two vectors are orthogonal to eachother? a=2i-5j+3k b=-i+j+k 2)How can the vector product be used to show an expression for the area of a triangle using the below co-ordinates? (2,0,1) (3,1,7) (-2,5,5) 3)Using two lines... L1: r=p+λn L2: s=q+µm where... p=8i+9j+3k n=i+j q=-2i-4j+k m=i+2j ...and a suitable minimum distance forumla, find the shortest distance between the two lines, providing a straight line indicates this distance, find the position vectors of these two connecting points, one on each line. Many thanks.