Vectors Proof Questions

List view

Hard

A geometric diagram showing a triangle OAB. Point O is at the origin. Point A is above and to the right of O. Point B is on a horizontal line to the right of O. Point D is further to the right on the same horizontal line. A vector arrow points from O to A, labeled 5a. A vector arrow points from O to B, labeled 3b. Point M is a point on the line segment AB.

\vec{OA} = 5\mathbf{a}

\vec{OB} = 3\mathbf{b}

$C\,$ is the point on $OA\,$ such that $O C : C A = 4 : 1$ $M\,$ is the midpoint of $A B$ $D\,$ is the point such that $O B : O D = 3 : 4$

Show that $C$ , $M\,$ and $D\,$ are on the same straight line.

[5]

Vectors Proof Questions Questions

Practise Edexcel GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.