I encourage all MX2 students to have a look at the following thread in the MX1 forum:
https://boredofstudies.org/threads/vector-projections-qs-help-plz-ugrent.394192/
The third question sounds simple but I believe it has been set in error as there is no simple solution. The posts in the thread do explore some aspects of the problem and could be adapted to a problem in proof.
Perhaps as something like:
If is the origin, is a variable point satisfying , and is a triangle of area 10 u2, show that can be located anywhere on the number plane so long as , and find the value of .
https://boredofstudies.org/threads/vector-projections-qs-help-plz-ugrent.394192/
The third question sounds simple but I believe it has been set in error as there is no simple solution. The posts in the thread do explore some aspects of the problem and could be adapted to a problem in proof.
Perhaps as something like:
If is the origin, is a variable point satisfying , and is a triangle of area 10 u2, show that can be located anywhere on the number plane so long as , and find the value of .