If two vectors are anti-parallel, scalar product is equal to the:

Explanation

(a) Product of their magnitudes: If two vectors are anti-parallel, it means that they point in exactly opposite directions. In this case, the scalar product (also known as the dot product) of the vectors would be equal to the negative of the product of their magnitudes, not the product of their magnitudes themselves. (b) Negative of the product of their magnitude: This is the correct option! When two vectors are anti-parallel, the scalar product is indeed equal to the negative of the product of their magnitudes. This is because the dot product takes into account both the magnitudes and the cosine of the angle between the vectors. (c) Equal to zero: If two vectors are anti-parallel, the scalar product is not equal to zero. Zero scalar product occurs when the vectors are orthogonal or perpendicular to each other, not when they are anti-parallel. (d) None of the above: This option means that none of the previous options accurately describe the scalar product of anti-parallel vectors. So, the correct option is (b). When two vectors are anti-parallel, the scalar product is equal to the negative of the product of their magnitudes.