The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
Answer
Yes
Step-by-step explanation:
(8 roundtrips)(89 miles)(28 days) = 19,936
Answer:
m = n = 20
Step-by-step explanation:
Here, we want to find the missing side lengths
For a 45-45 triangle, the lengths have a side ratio of;
1:1: √2
We should understand that the triangle is isosceles ( opposite and adjacent are equal)
So n = m
So what we just need to do here is divide 20 √2 by √2
Mathematically, that would be;
20 √2/√2 = 20
B. You need to add 73 and 73
