A particle $P\,$ moves so that its position vector at time $t\,$ seconds is

$r=(3+2t)i+(4−t)j+(1+2t)k\mathbf{r} = (3 + 2t)\mathbf{i} + (4 - t)\mathbf{j} + (1 + 2t)\mathbf{k}$

where the units of distance are metres.

Find the position vector of $P\,$ when $t = 0$ and when $t = 3$ .

Show that $P\,$ moves in a straight line, and find the speed of $P$ .

Find the exact distance of $P\,$ from the origin when $t = 1$ .

A particle $P\,$ moves so that its position vector at time $t\,$ seconds is

$r=(3+2t)i+(4−t)j+(1+2t)k\mathbf{r} = (3 + 2t)\mathbf{i} + (4 - t)\mathbf{j} + (1 + 2t)\mathbf{k}$

where the units of distance are metres.

Find the position vector of $P\,$ when $t = 0$ and when $t = 3$ .

Show that $P\,$ moves in a straight line, and find the speed of $P$ .

Find the exact distance of $P\,$ from the origin when $t = 1$ .

1 Pure Mathematics

1 Pure Mathematics Questions