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Why vector division is not possible?

Updated: 9/17/2019
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13y ago

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In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified.

For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.

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14y ago
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14y ago

In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified.

For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.

In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified.

For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.

In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified.

For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.

In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified.

For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.

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Q: Why vector division is not possible?
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