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.

12.2 Vectors in 3D

Question 12

Markscheme

12.2 Vectors in 3D

Question 12

Markscheme

12.2 Vectors in 3D

Question 12

12.2 Vectors in 3D Questions

12.2 Vectors in 3D

Question 12

12.2 Vectors in 3D Questions