Question

You have two vectors, which are 2.59 m at 30.0° north of east and 4.18 m at 60.0° north of west. What is the magnitude in meters (m) of the vector which results from adding these two vectors together?

Answer 1

Answer:
`\ec{r}=0.153\hat{i}+4.914\hat{j}`v

Step-by-step explanation:

Given

Vector 1

`\vec{a}=2.59\left ( cos30\hat{i}+sin30\hat{j}\right )`

Vector 2

`\vec{b}=4.18\left ( -cos60\hat{i}+sin60\hat{j}\right )`

Resultant
`\vec{r}=\vec{a}+\vec{b}`

`\vec{r}=2.59\left ( cos30\hat{i}+sin30\hat{j}\right )+4.18\left ( -cos60\hat{i}+sin60\hat{j}\right )`

`\vec{r}=0.153\hat{i}+4.914\hat{j}`

`|r|=4.916`