Position vectors m and n have terminal points of (2, ) and (1, y), respectively. if m · n = 8, then y is a. 4 1/2 b. 6 1/2 c. 8 d. 12

This problem involves the dot product.

You must provide all info for position vector m.  Your (2,) is inadequate.

Supposing that the terminal point of vector m were (2,3), then

m dot n would equal 8, or 8 = 2*2+3*y.  Then 8 = 4 + 3y, and 4 = 3y, and y =3/4.

Please type in the terminal point of vector m and then answer this question following the above example.

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.