Calculate the dot product of two vectors:

m = [4,5,-1] and n = [6,-2,7]

The Dot Product is a scalar (number)

(4 * 5) + (5 * -2) + (-1 * 7)
20 + -10 + -7
10 + -7
3

3.

Oops, sorry about that, the correct answer is 7

(4 * 6) + (5 * -2) + (-1 * 7)
24 + (-10) + (-7)
14 + (-7)
7

7.

thank you!

To calculate the dot product of two vectors, you need to multiply the corresponding components of the vectors together and then sum up those results.

The dot product of vectors m and n can be calculated using the formula:

m · n = m1 * n1 + m2 * n2 + m3 * n3

In this case, vector m has components m1 = 4, m2 = 5, and m3 = -1, and vector n has components n1 = 6, n2 = -2, and n3 = 7.

To calculate the dot product:

m · n = (4 * 6) + (5 * -2) + (-1 * 7)
= 24 - 10 - 7
= 7

Therefore, the dot product of vectors m and n is 7.