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:
Next 3 of the sequence are 4, 7, 10
You are adding by 3.
-2 - -5= 3
-2 + 3=1
1+3=4
4+3=7
7+3=10
Answer:
n = 11
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Vertical Angles: Angles that are across from each other and are congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>Vertical angles must be congruent.</em>
(6n - 4)° = (5n + 7)°
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 5n on both sides: n - 4 = 7
- Add 4 to both sides: n = 11
Divide the paper which is 21 inches (12+9) by 1.5 and you have your answer which is 14
Answer:
1/8 is at the bank, 1/4 at the mall and 5/8 at the library
Step-by-step explanation:
