Question 1208

Vectors I: Basics, Dot and Cross Products

2008 Paper 1 Question 3 Variant

Question

Points

{O,A, B}

are such that

{\overrightarrow{OA}=- 2 \mathbf{i} - \mathbf{k}}

and

{\overrightarrow{OB}=\mathbf{i} + \mathbf{j} - 4 \mathbf{k}, }

and the point

{P}

is such that

{OAPB}

is a parallelogram.

(i)

Find

{\overrightarrow{OP}.}

[1]

(ii)

Find the size of angle

{AOB.}

[3]

(iii)

Find the exact area of the parallelogram

{OAPB.}

[2]

Answer

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