Need points sorry but hope u get the right answer
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
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<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
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<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
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Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
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<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Answer:
180
Step-by-step explanation:
bc .60x300
to find the it u just .60 because it's a percentage
Answer:
fourth one = 780
Step-by-step explanation:
-4-30-3 =-37
8/10-2 = -6/5
3(-92)+28 = 248
-26* -30 = 780
Answer:
x³ − x² + 9x − 9 = 0
Step-by-step explanation:
Imaginary roots come in conjugate pairs. So if 3i is a root, then -3i is also a root.
(x − 1) (x − 3i) (x − (-3i)) = 0
(x − 1) (x − 3i) (x + 3i) = 0
(x − 1) (x² − 9i²) = 0
(x − 1) (x² + 9) = 0
x (x² + 9) − (x² + 9) = 0
x³ + 9x − x² − 9 = 0
x³ − x² + 9x − 9 = 0