The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
Answer:
10ft
Step-by-step explanation:
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be
.
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be
.
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be
.
We are also told that Dani received 216 pennies. Now, we will equate 216 to
and solve for x as shown below:
Therefore, Al have 2744 pennies initially.
That will be 2.8. Hope this helps