Vector Cross Product

  • #1
If vectors V_1 and V_2 are perpendicular, lV_1 x V_2l =? I know that if they are parallel for vector cross product, they equal 0.
 

Answers and Replies

  • #2
mathman
Science Advisor
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If vectors V_1 and V_2 are perpendicular, lV_1 x V_2l =? I know that if they are parallel for vector cross product, they equal 0.
The cross product is a vector perpendicular to V_1 and V_2. Also V_1 and V_2 don't have to be perpendicular to each other, only not parallel.

Note that this only makes sense in 3 dimensional space.

Further note: the magnitude is |V_1|x|V_2|cos(a), where a is the angle between the vectors. There is a sign ambiguity.
 
Last edited:
  • #3
ehj
79
0
Isn't it |V_1|*|V_2|*sin(a)?
 
  • #4
mathman
Science Advisor
8,003
518
Isn't it |V_1|*|V_2|*sin(a)?

You're right - my bad.
 

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