Home
/
Physics
/
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]

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]

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]

expert verifiedVerification of experts

Answer

4.7168 Voting
avatar
JenaMaster · Tutor for 5 years

Answer

\(\overrightarrow{FE} = \mathbf{a} + \mathbf{b}\)

Explain

## Step 1: Understand the problem<br />The problem is asking us to express the vector \(\overrightarrow{FE}\) in terms of vectors \(\mathbf{a}\) and \(\mathbf{b}\). We know that \(\overrightarrow{FG} = 2\overrightarrow{EH}\).<br /><br />## Step 2: Express \(\overrightarrow{FG}\) and \(\overrightarrow{EH}\) in terms of \(\mathbf{a}\) and \(\mathbf{b}\)<br />Given that \(\overrightarrow{FG} = 2\overrightarrow{EH}\), we can express \(\overrightarrow{FG}\) as \(2\mathbf{a} + 2\mathbf{b}\) and \(\overrightarrow{EH}\) as \(\mathbf{a} + \mathbf{b}\).<br /><br />## Step 3: Express \(\overrightarrow{FE}\) in terms of \(\overrightarrow{FG}\) and \(\overrightarrow{EH}\)<br />We know that \(\overrightarrow{FE} = \overrightarrow{FG} - \overrightarrow{EH}\).<br /><br />### \(\overrightarrow{FE} = (2\mathbf{a} + 2\mathbf{b}) - (\mathbf{a} + \mathbf{b})\)<br /><br />## Step 4: Simplify the expression<br />By simplifying the expression, we get:<br /><br />### \(\overrightarrow{FE} = \mathbf{a} + \mathbf{b}\)
Click to rate:

Hot Questions

More x