Work Out Vector Oc In Terms Of A And B

Circle the vector a b 1 3 5 7 1 3 1 7 5 6.

Work out vector oc in terms of a and b. B work out the coordinates of the point c. B is the midpoint of og. Pb 3. Oabc is a parallelogram with oa a and ob b.

Example in the figure opposite x and y are the midpoints of oa and ob respectively. Give your answer in its simplest form. It follows that ac 25b 25a by simple algebra so oc oa ac a 25b 25a 25b 15a. A is the midpoint of oe.

E is a point on ac such that ae 14 ac f is a point on bc such that bf 14 bc. Oc 2ab 3 3 a 1 3 b clearly od 1 3 b so dc do oc 1 3 b 2 3 a 1 3 b 2 3 a since dc is a multiple of a it is in the same direction as a. Solution ox 1 2 a and oy. Thank you i was trying to use a different approach by trying to go from obbc to get to oc but this method seems more simple and understandable.

A express in terms of a and b the following vectors give your answers in their simplest form. 1 b find op in terms of a and b. Given ab 25 ac ab b a. This means a bc a bac equivalently bc a bac a the vector product of two parallel vectors example suppose the two vectors a and b are parallel.

3 b use your answer to part a to explain why mn. Ii find in terms of a and b the vector ap. Give your answer in its simplest form. The second part of the question says that p is a point on ab so that appb 23.

Find in terms of a and b the vector. A vector between two points a and b is described as. M is the midpoint of oc. Overrightarrow ab mathbf a or underline a.

V ect ors diagram not accurately drawn 06 1 3 total for question 26 is 4 marks total for paper is 100 marks 23 p 4 c 647 a 2324. A find in terms of a and b i ab ii ae iii oe iv of v ef b write down two geometric properties connecting ef and ab exam question 1. A find in terms of x and y i. 1in the diagram obde and oafg are parallelograms.

This particular question deals with a triangle oab and we are asked to find vector ab in terms of a and b. If oa a and ob b find the position vector of the point z the intersection of xb and ya. The vector product is distributive over addition. The vector can also be represented by the column vector begin pmatrix.

Iii find in terms of a and b the vector op. Obb a find ab in terms of a and b. That is dc is parallel to oa. Nc 2.