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What is the magnitude of the cross product?

What is the magnitude of the cross product vec{A} times vec{B}?What is the magnitude of the cross product vec{C} times vec{D}?http://session.masteringphysics.com/problemAsset/1...
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Sarai Dooley Jr.

Feb 20, 2025

If a vector b makes an angle θ with vector a.The magnitude of the cross product is : |a X b| = |a|.|b|sinθIn your examples(a) |a| = 6 and |b| = 4 θ = 180° - 135° = 45° |a X b| = 6 X 4 X sin(45°) = 24(1/√2) = 12√2 units (Multiplying top and bottom be √2)(b) In this case vectors are anti parallel so θ = 180° |c X d| = 0 since sin(180°) = 0.... Show More
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S
Sarai Dooley Jr.

Feb 20, 2025

http://en.wikipedia.org/wiki/Cross_product#Definit...simple problem. why not try and post back if you get stuck. you'll be better off down the road if you at least try...cheers... Show More
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