Exam 10: Extension D: Vector Functions

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Find the cross product Find the cross product     Find the cross product

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B

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

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4

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

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C

Find Find   correct to three decimal places where   ,   ,  correct to three decimal places where Find   correct to three decimal places where   ,   ,  , Find   correct to three decimal places where   ,   ,  , Find   correct to three decimal places where   ,   ,

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

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

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

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