Physics 1A, Section 2 October 11, 2010. Quiz #1 Was due 3 hours ago.

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Presentation transcript:

Physics 1A, Section 2 October 11, 2010

Quiz #1 Was due 3 hours ago.

Main Purposes of Dot and Cross Products in Mechanics Dot product projected components of a vector product where the result is a scalar energy imparted = force  distance Cross product (area of a parallelogram) vector perpendicular to a plane product where the result is a vector torque = radius  force

Quiz Problem 18

Answer: a) cos -1 (1/3) = 70.5°

Quiz Problem 27

Answer: a) cos(  ACD) = √26 / 26   ACD = 78.7º cos(  BCD) = 0   BCD = 90º b) unit normal = (√26 / 26) (0, -5, 1)

Thursday, October 14: Frautschi Problems 6.1 – 6.6 Final Problem 9 Optional, but helpful, to look at these in advance.

Determinant of matrix: det(A) =  N j=1 A i,j (-1) i+j M i,j M i,j = determinant of matrix after removing row i and column j