In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t = 0$ , a particle $P\,$ is at the position $(−2i+4j)(-2\mathbf{i} + 4\mathbf{j})$ m relative to a fixed origin $O$ .

$P\,$ moves with constant velocity $(4i−6j)(4\mathbf{i} - 6\mathbf{j})$ m s $^{-1}$ .

Find the speed of $P$ , giving your answer to 3 significant figures.

Show that $P\,$ passes through the point $A\,$ with position vector $(8i−11j)(8\mathbf{i} - 11\mathbf{j})$ m.

In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t = 0$ , a particle $P\,$ is at the position $(−2i+4j)(-2\mathbf{i} + 4\mathbf{j})$ m relative to a fixed origin $O$ .

$P\,$ moves with constant velocity $(4i−6j)(4\mathbf{i} - 6\mathbf{j})$ m s $^{-1}$ .

Find the speed of $P$ , giving your answer to 3 significant figures.

Show that $P\,$ passes through the point $A\,$ with position vector $(8i−11j)(8\mathbf{i} - 11\mathbf{j})$ m.

1.10 Vectors

1.10 Vectors Questions