I'm trying to do this homework problem but I keep getting an answer that is not given. Can someone tell me what I am doing wrong please. This is for University level calc 3.
so I start by naming the vectors.
V is the direction the plane is now heading.
V_{1} is the original direction of the plane.
V_{2 }is the direction of the wind.
V =
V_{1} +
V_{2 }V_{1} = 600(cos148
i+sin148
j)
V_{2} = 80(cos45
i+sin45
j)
next I distributed, combined like terms and factored out
i and
j V = (600cos148+80cos45)
i + (600sin148+80cos45)
j
I plugged that into my calculator and got
V = <-452.7
i + 374.5
j>
To find the speed I found the length of vector
V
||
V|| = sqrt[ (-452.7)
^{2}+374.5
^{2}] = 587.5 km/hr
That isn't one of the options.. am i wrong"?