What is the magnitude of the cross product?

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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

3 Answers

  • If a vector b makes an angle θ with vector a.

    The magnitude of the cross product is :

           |a X b| = |a|.|b|sinθ

    In 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.
  • Magnitude Of Cross Product

  • 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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