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Physics_51_Prof_Test_4s_key

# Physics_51_Prof_Test_4s_key - Physics 51 Proficiency Test...

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Physics 51 Proficiency Test 4.sample (Time: 15 minutes) 25 points By Todd Sauke Name ___________ KEY ________ Section # __ KEY ___ We have seen that vector quantities can be added to and subtracted from one another. Vector quantities can also be multiplied together. We study two fundamental types of vector products in the Physics 50 series, the scalar (or "dot") product and the vector (or "cross") product. The dot product of two vectors (" a b ") has a scalar result. The cross product of two vectors (" a x b ") has a vector result, with the resultant vector perpendicular to the plane containing the source vectors. By convention, the cross product relies on a "right hand rule" to establish the resultant direction. What is the dot product of the vectors a and b if the magnitude of a is 11, the magnitude of b is 5, and the angle between them is 64º? a b = a b cos( θ ) = 11 * 5 * cos(64º) = 24.11 a b = ______ 24.11 (24) ________ For what value of angle between a and b would the dot product be maximized? (circle one below)

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Physics_51_Prof_Test_4s_key - Physics 51 Proficiency Test...

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