With what scalar, a vector must be multiplied to get null vector? 

When a vector is multiplied with zero, we get a null vector. 

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Can we subtract the vector from zero vector?

Yes, when any vector is subtracted from the zero vector, negative vector is obtained. 
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Can the product of two vectors be scalar?

Yes, dot product of two vectors is a scalar quantity. 
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If two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top represent the two adjacent sides of a parallelogram, then what is the area of the parallelogram?


Area of the parallelogram formed by two adjacent vectors, , is  

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Scalar product of two vectors is scalar. Can scalar product of two vectors be negative?

When two vectors are anti-parallel then 

Then, cos 1800 = -1 

Here, the product of two scalar vectors is negative. 
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