volume of prism =area of Base ×height
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
4,200
Step-by-step explanation:
$60,000 divided by 3,500 is 4,200
Answer:
Option (d) is correct.
The given polynomial
is a prime polynomial.
Step-by-step explanation:
Given : 
We have to factorize it completely.
Since , factorization is the process of reducing a given polynomial into a lower degree polynomial by taking common factors out into the simplest form.
Consider the given polynomial 
Since the given polynomial do not have any term common in both terms .
So we cannot factorized it further.
So, the given polynomial
is a prime polynomial.
Thus, Option (d) is correct.