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
__
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.
Answer:
21
Step-by-step explanation:
h(y)=3y^2-2y+5
Let y = -2
h(y)=3(-2)^2-2(-2)+5
= 3(4) +4 +5
= 12 +4 +5
=21
Answer:
Its A
Step-by-step explanation:
4/5 - 0.5 Convert the fraction to a decimal:-
= 0.8 - 0.5
= 0.3
Answer:
The answer is 80%.
Step-by-step explanation:
During a certain day, a worker made 81 parts.
He usually does 45 parts per day.
Number of extra parts made = 
The percent by which he increased the number of parts he usually makes can be given as = 
= 80%
Therefore, on that day, the percent increased by 80%.
