Consider three vectors

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

\mathbf{p} = \mathbf{i} + \mathbf{j} + \mathbf{k}

\mathbf{q} = 2\mathbf{i} + 4\mathbf{j} - \mathbf{k}

and

\mathbf{r} = \mathbf{i} + \mathbf{j} + 3\mathbf{k}

. If

\mathbf{p}

\mathbf{q}

and

\mathbf{r}

denotes the position vector of three non-collinear points, then the equation of the plane containing these points is (1)

2x - 3y + 1 = 0

(2)

x - 3y + 2z = 0

(3)

3x - y + z - 3 = 0

(4)

3x - y - 2 = 0