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
__
<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
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
The composite figure comprises of a cone balanced on top of cylinder
Step-by-step explanation:
The composite figure is formed from a cone and a cylinder with the same base radius, Let the base radius be r
Then the volume of the cone will be 
Then the volume of the cylinder will be 
The total volume of the composite figure will be V, where
let the height of cone and cylinder be same
The volume of the composite figure will be 
Hence 
Thecomposite figure comprises of a cone balanced on top of cylinder
$ 7 dollar reduction....that means new price is (32 - 7) = 25
percent decrease = (original number - new number) / original number..* 100
(32 - 25) / 25....* 100
7/25 * 100
0.28 * 100
28% decrease <==
Answer:
1.23
Step-by-step explanation:
Answer:
The answer is x³ = 64
Step-by-step explanation:
Hope this helps you
