Quiz 2: Vectors

Problem 1) The points (0,0), (10,0), (10,4) form a triangle. This triangle is the crossection of a triangular ramp--all measurements in meters. Resting on the ramp there is a 50 kilogram load.

a) Draw a picture showing the crossection of the ramp, the force due to the load, the force along the ramp due to the load and the force perpendicular to the ramp due to the load.

Click here for a hint

Click here to see the complete diagram for 1a.

b) Click on the vector below which you think is equal to the force due to the weight of the load.

490nt

-490nt

-50kg

c) Find a vector in the direction of the ramp.

Write this vector in terms of

and

Click here for a hint

d) Find the force along the ramp.

Write this vector in terms of

and

Click here for a hint

e) Find the force perpendicular to the ramp.

Write this vector in terms of

and

Click here for the complete solution

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Problem 2
a) Find the equation of the plane which passes through the point (6,6,6) and which has as normal vector.
Click here for a hint

b) Find the equation of the plane which passes through the point
(1,2,3), and which is parallel to the plane with equation
Click here for a hint

Click here for the complete solution

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