Finding a vector with given properties

[alexf322]

So I need to find a vector v with these properties
1. magnitude of 10
2. angle of 45° with positive x-axis
3. angle of 75° with positive y-axis
4. positive k component.


I understand basically just that the k component has to be positive.
Any help would be appreciated.

 

[SammyS]

So I need to find a vector v with these properties
1. magnitude of 10
2. angle of 45° with positive x-axis
3. angle of 75° with positive y-axis
4. positive k component.

I understand basically just that the k component has to be positive.
Any help would be appreciated.

Use the following scalar products (dot products).

\vec{v}\cdot \hat{i}

\vec{v}\cdot \hat{j}

In general, \vec{A}\cdot\vec{B}=\left|\vec{A}\right|\left|\vec{B}\right|\cos(\theta)