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Vector Cross Product

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

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:
ehj
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0
Isn't it |V_1|*|V_2|*sin(a)?
 
mathman
Science Advisor
7,718
399
Isn't it |V_1|*|V_2|*sin(a)?
You're right - my bad.
 

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