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College trig question concerning vectors?
Show that U and V have the same direction if UxV= /U/ x /V/
1 Answer
- 1 decade agoFavorite Answer
UxV=/U/x/V/
so for that to be true
/U/ means the absolute value of U so the total distance U from zero.
/V/ same thing for V
UxV if they are both positive(therefore go the same direction) then /U/x/V/ is also positive and always will be
UxV if they are both negative(same direction) then - x - = + and so is /U/x/V/ positive
but if it was -UxV then the answer would be negative and it would not be true, so they have to go the same direction.
maybe just -UxV(doesnot=)/-U/x/V/
Hope that helps