Suppose that a boat weighs 400 pounds and is on a ramp inclined at 30°. Represent the force due to gravity, F, using F = - 400j as shown in the figure to the right. a. Write a unit vector along the ramp in the upward direction. b. Find the vector projection of F onto the unit vector from part a. c. What is the magnitude of the vector projection in part b? What does this represent?

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Suppose that a boat weighs 400 pounds and is on a ramp
inclined at 30°. Represent the force due to gravity, F, using
F = - 400j as shown in the figure to the right.
a. Write a unit vector along the ramp in the upward direction.
b. Find the vector projection of F onto the unit vector from part a.
c. What is the magnitude of the vector projection in part b? What
does this represent?
F
F₂.
Transcribed Image Text:Suppose that a boat weighs 400 pounds and is on a ramp inclined at 30°. Represent the force due to gravity, F, using F = - 400j as shown in the figure to the right. a. Write a unit vector along the ramp in the upward direction. b. Find the vector projection of F onto the unit vector from part a. c. What is the magnitude of the vector projection in part b? What does this represent? F F₂.
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