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e1s2kat26
2021-03-04
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Bentley Leach

Answered 2021-03-05
Author has **109** answers

Recall that each nonzero complex number z can be written (uniquely!) in the form

where

Furthermore,

Then

so the argument of

Now define

with

It is well-defined since the representation

and

hence

Now we will prove that is injective. We know that varphi is injective if and only if ker

Then

since (1, 1) is a neutral element of

asked 2021-06-01

At the specified position, determine the vectors T, N, and B.

$r(t)=<{t}^{2},\frac{2}{3}{t}^{3},t>$ and point $<4,-\frac{16}{3},-2>$

asked 2021-05-14

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

asked 2021-09-22

We need to find the volume of the parallelepiped with only one vertex at the origin and conterminous vertices at $(1,3,0),(-2,0,2),{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}(-1,3,-1)$.

asked 2021-09-21

Find a unit vector that has the same direction as the given vector. 8i-j+4k

asked 2022-01-05

Find out if the set that can perform the specified operations is a vector space.

Identify the vector space axioms that are false for those that are not vector spaces.

the collection of all real numbers with addition and multiplication operations.

$\circ$ V is not a vector space, and Axioms 7,8,9 fail to hold.

$\circ$ V is not a vector space, and Axiom 6 fails to hold.

$\circ$ V is a vector space.

$\circ$ V is not a vector space, and Axiom 10 fails to hold.

$\circ$ V is not a vector space, and Axioms 6 - 10 fail to hold.

asked 2022-04-06

asked 2021-11-16

Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with mean 20. Smith has a used car that he claims has been driven only 10,000 miles.
If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Repeat under the assumption that the lifetime mileage of the car is not exponentially distributed, but rather is (in thousands of
miles) uniformly distributed over (0, 40).