The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product so options (b), (d), and (e) are not meaningful.
<h3>What is a vector?</h3>An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
The dot product of two vectors gives scalar quantity while the cross product gives a vector quantity.
Now,
In option (B) ;
a Х (b . c) now here b . c is a scalar quantity and we can not cross multiply a scalar with a vector.
In option (D) ;
(a.b) Χ (c.d) where we cannot multiply two scalars by cross product.
In option (E);
a.(b.c) we can not multiply two scalars by the dot product.
Hence "The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product".
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The given question has a missing option which is given below,
