Boost Your Knowledge with Vectors Explanation

College
Algebra
Linear algebra
Vectors and spaces

A unit vector parallel to vector V= (2,-3,6) is what?

Chana Rivera 2023-02-04

How to find a unit vector parallel to another vector?

dimenjaurfb 2023-02-02

Sarah can paddle a rowboat at 6 m/s in still water. She heads out across a 400 m river at an angle of 30 upstream. She reaches the other bank of the river 200 m downstream from the direct opposite point from where she started. Determine the river current?

stuipthingasgwtk 2023-02-02

How can I calculate the magnitude of vectors?

Skylar Greer 2023-01-17

Is it possible for the product of two non-zero vectors to be zero?

Enrique Cunningham 2023-01-14

What is the magnitude and direction of vectors i+j and i-j ?

animeagan0o8 2023-01-13

In an electromagnetic wave, the phase difference between electric and magnetic field vectors $\vec{E}$ and $\vec{B}$ is-
A. 0
B. $\frac{π}{2}$
C. $π$
D. $\frac{π}{4}$

Exceplyclene72 2023-01-07

What is meant by resolution of a vector?

singinscottnud 2023-01-03

A positron under goes a displacement r=2i-3j+6k ending with the positron vectors r=3j-4k in meters.what was the positron initial positron vectors?

klepnin4wv 2022-12-18

Is the position a vector or scalar?

umthumaL3e 2022-12-02

With T defined by T(x)=Ax, find a vector x such that T(x)=b
$A = (\begin{matrix} 1 & - 3 & 2 \\ 3 & - 8 & 8 \\ 0 & 1 & 2 \\ 1 & 0 & 8 \end{matrix}), b = (\begin{matrix} 1 \\ 6 \\ 3 \\ 10 \end{matrix})$
What I have done so far is thatI have merged the two matrices into a single augmented matrix. And row reduced it to get:
$(\begin{matrix} 1 & - 3 & 2 & 1 \\ 0 & 1 & 2 & 3 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{matrix})$
So does this just mean that the answer to the question is $x = (\begin{matrix} 1 \\ 3 \\ 0 \\ 0 \end{matrix})$

Baardegem3Gw 2022-12-01

Find the orthogonal projection of a vector v onto U
Let $u$ be a unit vector in $R^{n}$ and let $U$ be the subspace spanned by $u$ . Show that the orthogonal projection of a vector $v$ onto $U$ is given by
${proj}_{U} v = (u u^{T}) v$
and thus that the matrix of this projection is $u u^{T}$ . What is the rank of $u u^{T}$ ?
Where $u^{T}$ is the transpose of $u$ . Any help is appreciate! I have no idea how to begin this other than knowing
${proj}_{U} v = \frac{(v, u) u}{(u, u)}$
Thanks!

Jay Park 2022-12-01

For vectors $\vec{u}, \vec{v}, \vec{w}$ and scalar $λ$
$1) \vec{w} \times \vec{v} = - (\vec{v} \times \vec{w}) 2) (λ \vec{v}) \times \vec{w} = λ (\vec{v} \times \vec{w}) = \vec{v} \times (λ \vec{w}) 3) \vec{u} \times (\vec{v} + \vec{w}) = \vec{u} \times \vec{v} + \vec{u} \times \vec{w}$
use the properties above which cross product properties
$((\vec{i} + \vec{j}) \times \vec{i}) \times \vec{j}$

FofieiyK 2022-11-29

Two vectors are given by $A = 4.8 \hat{i} + 6.6 \hat{j}, B = 5.9 \hat{i} + 5.1 \hat{j}$ . Find $A \times B$
$1) - 33.3 k 2) - 24.6 k 3) - 7.2 k 4) - 14.5 k 5) - 18.8 k$

Jay Park 2022-11-29

Define resultant vector.

quakbIi 2022-11-27

In triangles UVW and XYZ, U and Z are right angles, $U V ≅ \bar{Y Z}$ , and $\bar{V W} ≅ \bar{X Y}$ . Which theorem proves these triangles are congruent? A. HA Congruence Theorem B. LA Congruence Theorem C. LL Congruence Theorem D. None of these

Giovanna Shaw 2022-11-25

Why is distance not a vector quantity?

Mollie Wise 2022-11-23

Let B be the basis $P_{3}$ consisting of the Hermite polynomials $1, 2 t, - 2 + 4 t^{2}$ and $- 12 t + 8 t^{3}$ ; and let $p (t) = 1 + 16 t^{2} - 8 t^{3}$ . Find the coordinate vector of p relative to B.
$[p]_{B} = [\begin{matrix} - 7 \\ - 6 \\ - 4 \\ - 1 \end{matrix}]$

Arlene Julia Torregue Gueta2022-08-29

Determine whether the set S spans R2. If the set does not span give a geometric description of the subspace that it does span.
1. S = { (2, 1), (-1, 2) }

2. S = { (1, 3), (-2, -6), (4, 12)}

3. S = { (-3, 5) }

4. S = { (5, 0), (5, -4) }

5. S = { (-1, 2), (2, -4) }

Bobby Mitchell 2022-08-07

Show that the plane that passes through the three points
A=(a1,a2,a3)
B=(b1,b2,b3)
C=(c1,c2,c3)
consists of the points P=(x,y,z) given by
$| \begin{matrix} a_{1} - x & a_{2} - y & a_{3} - z \\ b_{1} - x & b_{2} - y & b_{3} - z \\ c_{1} - x & c_{2} - y & c_{3} - z \end{matrix} |$

One of the most fascinating parts of linear algebra is dealing with the vectors and vector spaces. You can start with the equations or examine the solutions that have already been provided to the most common questions. Since these are mostly the same, you will find sufficient help as you try to challenge your homework duties. Remember to use scalars and check your objects accurately. We also provide vectors math help by offering various solutions based on Physics or specific engineering problems. Make sure that you browse through the available posts and seek something that sounds similar to your task.

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