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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 ± ⃑ ² ³ ´µ ¶µ ·¸¹ º, » ¼⃑ ² ³ ¹µ ·´µ ¶ º, and ½⃑ ² ³ ¾µ ·¶µ ¸¶ º, are the vectors coplanar? 8. Let ¿ ⃑ ² ¸¾À̂ and let Á ¼⃑ be a vector with length 5 that starts at the origin and rotates in the yzplane. Find the maximum and minimum values of the length of the vector Á ¼⃑ Â ¿ ⃑. In what direction does Á ¼⃑ Â ¿ ⃑ point?...
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 '07
 KAMIENNY
 Math, Calculus, Vectors, Dot Product, Kevin Le, [email protected]

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