(i)[3]
Determine the unit vector that points in the direction of $\vec{OB}$.
(ii)[5]
Find the acute angle formed between the diagonals of the parallelogram.
(iii)[3]
Find the perimeter of the parallelogram, accurate to $1$ decimal place.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts parallelogram $OABC$. You are given that $\vec{OA} = i + 3j + 3k$ and $\vec{OC} = 3i - j + k$.