[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 position $(−2i+6j)m(-2\mathbf{i} + 6\mathbf{j})\text{m}$ relative to a fixed origin, $O$ .

The particle moves with velocity $(2i−8j)ms−1(2\mathbf{i} - 8\mathbf{j})\text{ms}^{-1}$

Verify that the speed of $P\,$ is 8.25 ms^-1, correct to 3 significant figures.

Show that $P\,$ passes through the point $A\,$ with position $(3i−14j)m(3\mathbf{i} - 14\mathbf{j})\text{m}$ .

[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 position $(−2i+6j)m(-2\mathbf{i} + 6\mathbf{j})\text{m}$ relative to a fixed origin, $O$ .

The particle moves with velocity $(2i−8j)ms−1(2\mathbf{i} - 8\mathbf{j})\text{ms}^{-1}$

Verify that the speed of $P\,$ is 8.25 ms^-1, correct to 3 significant figures.

Show that $P\,$ passes through the point $A\,$ with position $(3i−14j)m(3\mathbf{i} - 14\mathbf{j})\text{m}$ .

Vectors

Vectors Questions