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1. An air ambulance is traveling from Barrie to Toronto. Toronto is located 90 km (S 5° E) of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it to Toronto?
2. Let u=<u_{1},u_{2}>, v=<v_{1},v_{2}> be vectors and let k be a scalar. Then u+v=<u_{1}+v_{1},u_{2}+v_{2}> and ku=<ku_{1},ku_{2}>.
||u|| = √(u^{2}_{1}+u^{2}_{2})
u = ||u||(cos θ)i + ||u||(sin θ)j
tan θ = sin θ / cos θ
3. I tried vector addition but I'm just stumped (my cousin is taking a high school calculus course, and I volunteered to help him out).
2. Let u=<u_{1},u_{2}>, v=<v_{1},v_{2}> be vectors and let k be a scalar. Then u+v=<u_{1}+v_{1},u_{2}+v_{2}> and ku=<ku_{1},ku_{2}>.
||u|| = √(u^{2}_{1}+u^{2}_{2})
u = ||u||(cos θ)i + ||u||(sin θ)j
tan θ = sin θ / cos θ
3. I tried vector addition but I'm just stumped (my cousin is taking a high school calculus course, and I volunteered to help him out).
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