Ihad this class in college where the semester’s four exams weighed 10%, 15%, 25%, and 50%, respectively. the class average on each of the exams where 75%, 91%, 63%, 87%, respectively. create two vectors in to represent the data. calculate the dot product of your two vectors. what does the scalar value represent in terms of the class?

In terms of the class, the dot product represents the weighed class average.

Step-by-step explanation:

The two vectors are:

- The weight of each of the semester's exams.

In decimal:

- The class average on each of the exams

In decimal:

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Dot product:

Suppose there are two vectors, u and v

u = (a,b,c)

v = (d,e,f)

There dot product between the vectors u and v is:

u.v = (a,b,c).(d,e,f) = ad + be + cf

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So

In terms of the class, the dot product represents the weighed class average.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47