Question: State whether the statement is true or false. Motivate your answer by either giving a proof if the statement is true and an example or

State whether the statement is true or false. Motivate your answer by either giving a proof if the statement is true and an example or the correct form if the statement is false.

.

The curve with vector equation

r (t) = t^{3} i + 2 t^{3} j + 3 t^{3} k

is a line.

(1)

State whether the statement is true or false.

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