Linh has obtained scores of 82, 79, and 75 on her midterm algebra exams. If the final exam counts twice as much as a midterm, wh
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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".
For more information about vector,
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The given question has a missing option which is given below,
Given:
To find:
The variance. of combined set.
Solution:
Formula for variance is
...(i)
Using (i), we get
Similarly,
Now, after combining both sets, we get
Therefore, the variance of combined set is 15.4.