Find the dot product of: <-1, 7> and <2, ¾>.
-1*2 + 7*3/4
To find the dot product of two vectors, you need to multiply their corresponding components and then add up the results. Let's call the two given vectors A and B.
A = <-1, 7>
B = <2, ¾>
To calculate the dot product, we multiply the corresponding components and add the results:
Dot product = (-1 * 2) + (7 * ¾)
Simplifying the multiplication:
Dot product = -2 + (21/4)
To add -2 and 21/4, we need to find a common denominator:
Dot product = (-8/4 + 21/4)
Add the fractions:
Dot product = (13/4)
Therefore, the dot product of <-1, 7> and <2, ¾> is 13/4.