Vector A has magnitude 13.0 m and vector B has magnitude 16.0 m. The scalar product A. B is 116 m2. What is the magnitude of the vector product between these two vectors? Express your answer with appropriate units.

The magnitude of the vector product is 172.74 m2.

Given that the magnitude of vector A is 13 and the magnitude of vector B is 16. The scalar product of vectors A and B are 116 m2.

Let us consider that is the angle between vector A and vector B, then the scalar product can be given as below.

Substituting the values in the above equation, we get the angle between vectors A and B.

Now the magnitude of the vector product is given below.

Hence we can conclude that the magnitude of the vector product is 172.74 m2.

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Explanation:

Given that,

The magnitude of vector A,

The magnitude of vector B,

Scalar product of A and B,

The formula for the scalar product is given by :

Where, is the angle between A and B.

The formula for the vector product is given by :

So, the vector product between these two vectors is .

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