MTH1030 Assignment Questions 1 and 3

[lje1029]

Im currently doing my assignment for mth1030 which is due this week and im quite stuck on questions 1 and 3

ill put up the screenshots of the assignment,

ANY help or directions on how to work the questions would be great.

Thanks

[kinslayer]

For 1), you need to use the cross product to find the areas of the four parallelograms. It's pretty straightforward. The area of is just (straight from the lecture notes). Now project u and v to the various planes like it says in the hint, make new parallelograms with them and see what you get when you square their areas.

3) is pretty much the same but a bit trickier. You need to use the hint: work out each of those three cross products, then you can equate the z-coordinates of u, v, w to the x- and y-coordinates of the other two vectors. Then work out the areas of a bunch of parallelograms using the cross product and see what you get.

Burkard gave out a bunch of hints in lectures last week and probably will again today (I can't go to today's though), check it out on MULO.