How to find the resultant velocity in unit vector notation?

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Termica
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Hurricane Iota is considered the strongest hurricane in history to hit Nicaragua. As Iota passed over Nicaragua,
the eye of the hurricane moved with a velocity of 235 km/ h in a direction 35.0o
south of east. The course of the
hurricane then shifts direction, 25.5o
north of east with a velocity of 249 km/h. Determine:
a) The resultant velocity in unit vector notation
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Eimmanuel
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(Original post by Termica)
Hurricane Iota is considered the strongest hurricane in history to hit Nicaragua. As Iota passed over Nicaragua,
the eye of the hurricane moved with a velocity of 235 km/ h in a direction 35.0o
south of east. The course of the
hurricane then shifts direction, 25.5o
north of east with a velocity of 249 km/h. Determine:
a) The resultant velocity in unit vector notation
If we are told a vector of magnitude v in a direction  \theta north of east, we can write this vector in the cartesian coordinate as
 \vec{v} = v \cos (\theta) \hat{\text{i}} + v \sin(\theta) \hat{\text{j}} ---eqn(1)

You can use eqn(1) to write the velocity for “a velocity of 235 km/ h in a direction 35.0° south of east.” and “direction, 25.5° north of east with a velocity of 249 km/h” and then find the resultant velocity.

I hope you know how to compute unit vector. Let me know if you don’t know.
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Eimmanuel
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(Original post by Termica)
Hurricane Iota is considered the strongest hurricane in history to hit Nicaragua. As Iota passed over Nicaragua,
the eye of the hurricane moved with a velocity of 235 km/ h in a direction 35.0o
south of east. The course of the
hurricane then shifts direction, 25.5o
north of east with a velocity of 249 km/h. Determine:
a) The resultant velocity in unit vector notation
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