Q4: Can a scalar product of two vectors be negative?
Provide a proof and give an example
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Yes. The scalar product can be thought of as a projection of one vector onto another. If they are facing in different directions, that is, if the angle between them is more than 90 degrees, this projection will be negative.In the image above, the scalar product will be positive because the angle is less than 90 degrees.
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Yes. The scalar product can be thought of as a projection of one vector onto another. If they are facing in different directions, that is, if the angle between them is more than 90 degrees, this projection will be negative.
In the image above (taken from here), the scalar product will be positive because the angle is less than 90 degrees.
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