Calculating Magnitude of Vector Product of Two Vectors

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SUMMARY

The discussion focuses on calculating the magnitude of the vector product of two vectors, specifically using the formula |A| * |B| * sin(α). The user initially attempted to use cosine for angles of 60 degrees and 120 degrees, leading to incorrect results. The correct approach involves recognizing that the sine function is required for vector products, not cosine. The user seeks clarification on the application of sine versus cosine in this context.

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Homework Statement


For the two vectors in the figure , find the magnitude of the vector product lAl x lBl.
http://session.masteringphysics.com/problemAsset/1040325/3/yf_Figure_1_29.jpg

Homework Equations


lAl*lBl=lAl*lBlsin(alpha)


The Attempt at a Solution



2.8cm * 1.9cm * cos(60) = 2.66cm^2

2.8cm * 1.9cm * cos(120) = -2.66cm^2

Since they made two 60 degree, I thought the alpha was 60 but I got wrong.

Then, I came up with the 120 degree, however it is also wrong.

Where did I do wrong?

Please help me..
 
Physics news on Phys.org
Why do you use cosine 120 degrees instead of sine?

ehild
 

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