Answer:
<h2><em>
86.45°</em></h2>
Step-by-step explanation:
Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;
where is the angle between both vectors
a.b = (4, 2, -4). (4, -3, 2)
a.b = 4(4)+2(-3)+2(-4)
a.b = 16-6-8
a.b = 16-14
a.b = 2
Given |r| = √x²+y²+z²
|a| = √4²+2²+(-4)²
|a| = √16+4+16
|a| = √36
|a| = 6
Similarly;
|b| = √4²+(-3)²+2²
|b| = √16+9+4
|b| = √29
Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;
<em></em>
<em>Hence the angle between vectors a and b is 86.45°</em>
The parts of Y would be as:
25
5
1
1/5
1/25
1/125
Multiply -6 by -5
30
then you add the b
so you get 30b
Answer:
cups of flour = 7 1/2
cups of sugar = 2 1/2
ration flour: sugar = 3:1
by this we get that for 1 cup of flour we need 1/3 cups of sugar
Answer:
meters.
Step-by-step explanation:
This question can be solved using a rule of three.
If a one dollar bill is 0.0001 meters thick.
So 1 dollar is m tall.
How tall is 4 trillion one dollar bills?
1 trillion =
So 4 trillion =
Then
1 dollar - m
- xm
The answer is meters.