Two particles, $P$ and $Q$ , move in the same horizontal plane.

Particle $P$ is initially at rest at the point with position vector $(5i+2j)(5\mathbf{i} + 2\mathbf{j})$ metres and moves with constant acceleration $s−2(2\mathbf{i} + 3\mathbf{j})\, \text{m}\,\text{s}^{-2}$ .

Particle $Q$ moves in a straight line, passing through the points with position vectors $(2i+3j)(2\mathbf{i} + 3\mathbf{j})$ metres and $(6i+cj)(6\mathbf{i} + c\mathbf{j})$ metres.

$P$ and $Q$ are moving along parallel paths.

Find an expression for the position vector of $P$ at time $t$ seconds.

Hence, prove that the paths of $P$ and $Q$ are not collinear.

Two particles, $P$ and $Q$ , move in the same horizontal plane.

Particle $Q$ moves in a straight line, passing through the points with position vectors $(2i+3j)(2\mathbf{i} + 3\mathbf{j})$ metres and $(6i+cj)(6\mathbf{i} + c\mathbf{j})$ metres.

$P$ and $Q$ are moving along parallel paths.

Find an expression for the position vector of $P$ at time $t$ seconds.

Hence, prove that the paths of $P$ and $Q$ are not collinear.

1.13 J: Vectors

Question 59

Markscheme

1.13 J: Vectors

Question 59

Markscheme

1.13 J: Vectors

Question 59

1.13 J: Vectors Questions

1.13 J: Vectors

Question 59

1.13 J: Vectors Questions