Recent questions in Algebra

Linear algebraAnswered question

Annabel Zamora 2023-04-01

An object moving in the xy-plane is acted on by a conservative force described by the potential energy function $U(x,y)=\alpha (\frac{1}{{x}^{2}}+\frac{1}{{y}^{2}})$ where $\alpha$ is a positive constant. Derivative an expression for the force expressed terms of the unit vectors $\overrightarrow{i}$ and $\overrightarrow{j}$ .

Linear algebraAnswered question

Oswaldo Riley 2023-03-31

I need to find a unique description of Nul A, namely by listing the vectors that measure the null space

$A=\left[\begin{array}{ccccc}1& 5& -4& -3& 1\\ 0& 1& -2& 1& 0\\ 0& 0& 0& 0& 0\end{array}\right]$

Linear algebraAnswered question

Aron Campbell 2023-03-30

T must be a linear transformation, we assume. Can u find the T standard matrix.$T:{\mathbb{R}}^{2}\to {\mathbb{R}}^{4},T\left({e}_{1}\right)=(3,1,3,1)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}T\left({e}_{2}\right)=(-5,2,0,0),\text{}where\text{}{e}_{1}=(1,0)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{e}_{2}=(0,1)$

?Linear algebraAnswered question

Jacoby Blevins 2023-03-30

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.

Abstract algebraAnswered question

immarehealopbsc 2023-03-28

How to find out the mirror image of a point?

Linear algebraAnswered question

atentan4t9j 2023-03-25

Consider two vectors A=3i - 1j and B = - i - 5j, how do you calculate A - B?

Linear algebraAnswered question

Kira Yoder 2023-03-23

What is the dot product of $<1,-4,5>$ and $<-5,7,3>$?

Linear algebraAnswered question

Oswaldo Riley 2023-03-23

Let vectors A=(1,0,-3) ,B=(-2,5,1) and C=(3,1,1), how do you calculate 2A-3(B-C)?

Linear algebraAnswered question

miljanwpd2 2023-03-23

What is the projection of $<6,5,3>$ onto $<2,-1,8>$?

Linear algebraAnswered question

Arturo Callahan 2023-03-18

Which of the following is not a vector quantity?

A)Weight;

B)Nuclear spin;

C)Momentum;

D)Potential energy

A)Weight;

B)Nuclear spin;

C)Momentum;

D)Potential energy

Linear algebraAnswered question

Marisa Singleton 2023-03-17

How to find all unit vectors normal to the plane which contains the points $(0,1,1),(1,-1,0)$, and $(1,0,2)$?

Linear algebraAnswered question

Kobe Dixon 2023-03-16

How to find unit vector perpendicular to plane: 6x-2y+3z+8=0?

Linear algebraAnswered question

umatisi6ar 2023-03-11

How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude and direction of the force is given by $v=<1,4>$?

Linear algebraAnswered question

Beau Mckee 2023-03-11

How do I find the vertical component of a vector?

Linear algebraAnswered question

Bruno Schneider 2023-03-11

How would you find a unit vector perpendicular to plane ABC where points are A(3,-1,2), B(1,-1,-3) and C(4,-3,1)?

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