1.) a.) Once you know the direction cosines of the necessary vectors, apparent d

Question

1.) a.) Once you know the direction cosines of the necessary vectors, apparent dip can be determined in one vector calculation (not counting conversion of direction cosines into trend and plunge at the end) while determining rake requires an additional step. Explain. What are the vectors used to determine apparent dip? Which are used to calculate rake?

b,) What is the rake of the slip vector on a fault plane with purely dip slip motion?

c.) The cross-product of two vectors yields a third vector. How does the third vector relate to the original two?

Explanation / Answer

B) The rake of the slip vector on a fault plane with purely dip slip motion is 90°. Rake is the angle between a line in a plane to the strike of that plane. In a fault plane with purely dip slip motion, the slip vector is along the true dip vector which is perpendicular to the strike. So, the rake is 90°.

C) The cross product of two vectors yields a third vector that is perpendicular to both original vectors. So, the third vector is perpendicular to the plane in which the first two vectors lie.

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