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KittiesAre_Cute

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- Will there always be a cross product for 2 vectors when they have components in all 3 plane. I mean if they are in xy plane we just take the vector product to be the z axis, but when they have components in all 3 dimensions, will there always be a 2d plane that contains both of them (not the x,y or z plane) so we can take the perpendicular

Hi, it is my first post here so please dont mind any mistakes if you see them. I am currently learning vectors and one thing that I do not understand is if there will always be a vector product for 2 vectors when they have components in all 3 plane. I mean if they are in xy plane we just take the vector product to be the z axis, but when they have components in all 3 dimensions, will there always be a 2d plane that contains both of them (although not the x,y or z plane) so we can take the perpendicular to that plane and get the vector product.