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
3/x = 4/3
4x = 9
x = 9/4
5/y = 4/3
4y = 15
y = 15/4 (B)
Answer:
Step-by-step explanation:
15 ×5= 75
You owe 75$
Answer:
On average, the workers dig 4.75ft each day. Also, what x and y questions?
Step-by-step explanation:
Take
I hope you have a great day and make me the brainliest.
Answer:
Jayden buys 4 pounds of coffee
Step-by-step explanation:
Let's say that p represents the number of pounds of coffee Jayden bought. She starts with $90, and for each pound she buys, she loses $7.26 dollars. Therefore, as she loses 7.26 dollars, we must subtract the amount she pays from $90. Then, as she loses 7.26 dollars for each pound, we multiply 7.26 by the number of pounds to find the money she spends.
We can thus write our equation as
90 - 7.26*p = final amount = 60.96
90-7.26p = 60.96
subtract 90 from both sides to isolate the p and its coefficient
-7.26p = -29.04
divide both sides by -7.26 to isolate the p
p = 4
Jayden buys 4 pounds of coffee