Deck 10: Extension D: Vector Functions

Question 1

Find correct to three decimal places where , ,

A)
B)
C)
D)
E)

Answer 1

Question 2

Find the cross product

A)
B)
C)
D)
E)

Answer 2

Question 3

Find a nonzero vector orthogonal to the plane through the points P,Q,and R.

A)
B)
C)
D)
E) None of these

Answer 3

Question 4

Find the magnitude of the torque about P correct to two decimal places if a d-lb force is applied as shown.Let ft, ft, , Ib

Question 5

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is cm long.
Find the magnitude of the torque about P correct to two decimal places.
Let N, ,

Question 6

Let and let u be a vector with length that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector

A)
B)
C)
D)
E)

Question 7

Find the volume of the parallelepiped with adjacent edges PQ,PR,and PS.