The force vector F in terms of i and j, considering it's magnitude and angle, is represented by:
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
How can a vector be represented in i and j notation?
Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In this problem, we have that the parameters are as follows:
[tex]M = 22, \theta = 45^\circ[/tex]
Hence:
[tex]V = 22\sin{45^\circ}i + 22\cos{45^\circ}j[/tex]
[tex]V = 22\frac{\sqrt{2}}{2}i + 22\frac{\sqrt{2}}{2}j[/tex]
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
More can be learned about vectors at https://brainly.com/question/24606590
#SPJ1
