MATH226_SI_Week2

MATH226_SI_Week2 - Find the magnitude of the torque about...

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Kevin Le – Math 226 SI www.usc.edu/si kevinle@usc.edu Week 2 §10.4: The Cross Product §10.4: The Cross Product 1. Find ± ⃑ ² ³ ´⃑ given that ± ⃑ µ ¶ ·¸ ¹¸ º » and ³ ´⃑ µ ¶ ¼¸ ½¾¸ · ». 2. Find two unit vectors that are orthogonal to both < 7, 1, 4 > and < 5, 2, 6 >. 3. A bicycle pedal, with a 20 cm long shaft, lies 10 degrees above the x-axis. The pedal is pushed at an angle of 70 degrees above the x-axis. Find the magnitude of the force needed to supply 100 N m of torque to the end of the shaft (see figure).
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Kevin Le – Math 226 SI www.usc.edu/si kevinle@usc.edu Week 2 §10.4: The Cross Product 4. 500 N of force in the upward direction is applied to a meter-long catapult when launched. Before launch, the catapult is parallel to the ground.
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Unformatted text preview: Find the magnitude of the torque about the attached end of the catapult (see figure). 5. Find the area of the triangle whose vertices are P(2, 0, -3), Q(3, 1, 0), and R(5, 2, 2). 6. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS given the points P(3, 0, 1), Q(-1, 2, 5), R(5, 1, -1), and S(0, 4, 2). 7. Given , , and , are the vectors coplanar? 8. Let and let be a vector with length 5 that starts at the origin and rotates in the yz-plane. Find the maximum and minimum values of the length of the vector . In what direction does point?...
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This note was uploaded on 12/16/2011 for the course MATH 226 at USC.

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MATH226_SI_Week2 - Find the magnitude of the torque about...

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