Vectors, Resolution into Components

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Lesson 5-8

• Vectors, Resolution into Components

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Resolution into Components
Given a vectors direction and magnitude, we can
resolve it into its horizontal and vertical
components.
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Ex1. Resolve the following vector into
its horizontal and vertical components.
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a) as a sum of two components.
x 12cos160 8cos310
y 12sin160 8sin310
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b) as a magnitude and direction
6.134
2.024
r 6.459
198.261º
6.459 units at 198.261º
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Ex3. A plane flies 30 miles on a bearing of ß
200, then turns and flies 40 miles on a
bearing of ß 10. Find the resultant vector
as a distance and bearing.
E
d 11.682
S
? 343.513
11.682 mi at 343.513
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Ex4. A scuba diver swims 100 feet per minute
along a bearing of 170. The water is moving
with a current of 30 feet per minute along a
bearing of 125. Find the divers resultant
velocity (speed and bearing).
S
d 123.055
? 160.073
123.055 fpm at 160.073
E