What is the magnitude of the cross product?
What is the magnitude of the cross product of vec{A} and vec{B}? Additionally, what is the magnitude of the cross product of vec{C} and vec{D}? The problem is referenced at the following link: http://session.masteringphysics.com/problemAsset/1...
3 Answers
Jan 16, 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.Feb 21, 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
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