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anigeo
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say for example for 2 vectors A.B=0 and for another pair A.C=0.is it necessary that B is parallel to C.If yes how?
anigeo said:say for example for 2 vectors A.B=0 and for another pair A.C=0.is it necessary that B is parallel to C.If yes how?
Parallel vectors are two or more vectors that have the same direction and are either the same length or are scalar multiples of each other. Non-parallel vectors do not have the same direction and cannot be expressed as scalar multiples of each other.
No, if three vectors are parallel, it means they lie on the same plane. Therefore, they must be coplanar.
If two vectors are parallel, their direction vectors must be proportional. This means that if you express both vectors in terms of unit vectors, the coefficients of the unit vectors must be equal.
No, non-parallel vectors can never be considered as parallel. Parallel vectors must have the same direction and be either the same length or scalar multiples of each other.
No, vectors do not have to be parallel in order to be added or subtracted. The result of adding or subtracting non-parallel vectors will be a new vector with a different direction and magnitude.