Answer:[tex]30 i -473 j -3 k[/tex]
Step-by-step explanation:
We are given two velocity vectors with its three components in unit notation:
Airplane's velocity:
[tex]\vec{p}=30i-492j+42k[/tex]
Crosswind velocity:
[tex]\vec{t}=0i+19j-45k[/tex]
Now, if we want to know the velocity of the airplane when it is affected by the wind, we have to add these two velocity vectors:
[tex]\vec{p} + \vec{t}=(30i-492j+42k) + (0i+19j-45k)[/tex]
Adding both vectors:
[tex]\vec{p} + \vec{t}=30i-473j-3k[/tex]
