Question

Write the vector v in terms of i and j whose magnitude | V || and direction 0 are given.lvl = 34, 0 = 135°v=type your answer in terms of i and j

Answer 1

Given

Write the vector v in terms of i and j whose magnitude | V || and direction 0 are given.

lvl = 34, 0 = 135°

v=

Solution

`\begin{gathered} x=34\sin 135 \\ x=24.0416\text{ } \\ x=17\sqrt[]{2} \end{gathered}`
`\begin{gathered} y=34\cos \text{ 135} \\ y=-24.0416 \\ y=-17\sqrt[]{2} \end{gathered}`

The final answer

`v=(17\sqrt[]{2}i,\text{ -17}\sqrt[]{2}j)\text{ }`