All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

(ii)

for some .

Since is perpendicular to

(iii)

Let C’ be the point of reflection of C in line AB.

### KS Comments:

A few steps above are being skipped as it is really inconvenient to type the vectors in LaTeX. Please let me know if it caused problems for you.