Question
Five points are connected by vectors. Not drawn accurately overrightarrow (FG)=2overrightarrow (EH) Work out overline (FE) in terms of a and b. [4 marks]
Answer
4.7
(168 Votes)
Jena
Master · Tutor for 5 years
Answer
Explanation
## Step 1: Understand the problemThe problem is asking us to express the vector
in terms of vectors
and
. We know that
.## Step 2: Express
and
in terms of
and
Given that
, we can express
as
and
as
.## Step 3: Express
in terms of
and
We know that
.### \(\overrightarrow{FE} = (2\mathbf{a} + 2\mathbf{b}) - (\mathbf{a} + \mathbf{b})\)## Step 4: Simplify the expressionBy simplifying the expression, we get:###