Answer:
3
Step-by-step explanation:
just did it
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:
49
Step-by-step explanation:
Every time you multiply both sides of a rectangle by a number x, its area if multiplied by .
In our example:
Area of a rectangle = width . length
width = 4
length = 7
= 4 . 7 = 28
When you multiply both sides by 7:
width = 4 . 7 = 28
length = 7 . 7 = 49
= 28 . 49
= 1372
/ = 1372 / 28 = 49 =
Both sides multiplied by 7 => Area multiplied by
Got it?
;-)
True
Because 9 is a odd number as of 1,3,5 are