Boost Your Knowledge with Vectors Explanation

College
Algebra
Linear algebra
Vectors and spaces

Find the cross product $a \times b$ and verify that it is orthogonal to both a and b.
$a = (2, 3, 0), b = (1, 0, 5)$

Line 2021-09-25

Without calculation, find one eigenvalue and two linearly independent eigenvectors of
$A = [\begin{matrix} 5 & 5 & 5 \\ 5 & 5 & 5 \\ 5 & 5 & 5 \end{matrix}]$
Justify your answer.

Brittney Lord 2021-09-24

Black vultures excel at gliding flight. they can move long distances through the air without flapping their wings while undergoing only a modest drop in height. A vulture in a typical glide in still air moves along a path tipped ${3.5}^{\circ}$ below the horizontal. If the vulture moves a horizontal distance of 100 m, how much height does it lose?

Amari Flowers 2021-09-24

Find the best approximation to z by vectors of the form $c_{1} v_{1} + c_{2} v_{2}$
$z = [\begin{matrix} 3 \\ - 7 \\ 2 \\ 3 \end{matrix}], v_{1} = [\begin{matrix} 2 \\ - 1 \\ - 3 \\ 1 \end{matrix}] v_{2} = [\begin{matrix} 1 \\ 1 \\ 0 \\ - 1 \end{matrix}]$

smileycellist2 2021-09-24

Find the unit vectors that are perpendicular to the tangent line.

Wotzdorfg 2021-09-24

Find two vectors in opposite directions that are orthogonal to the vectot u. $u = < 3, 5 >$

Reeves 2021-09-23

(1) find the projection of u onto v and (2) find the vector component of u orthogonal to v. u = ⟨6, 7⟩, v = ⟨1,4⟩

djeljenike 2021-09-23

Find the unit tangent and unit normal vectors T(t) and N(t). $r (t) = < t, 3 \cos t, 3 \sin t >$

Emeli Hagan 2021-09-23

Find the directional derivative of the function at the given point in the direction of the vector v. $f (x, y) = \frac{x}{x^{2}} + y^{2}, (1, 2), u = < 3, 5 >$

jernplate8 2021-09-22

Let S be the parallelogram determined by the vectors
$b_{1} = [\begin{matrix} - 2 \\ 3 \end{matrix}]$
and
$b_{2} = [\begin{matrix} - 2 \\ 5 \end{matrix}]$
and let
$A = [\begin{matrix} 6 & - 3 \\ - 3 & 2 \end{matrix}]$
Compute the area S under the mapping $x \mapsto A x$

illusiia 2021-09-22

We need to find the volume of the parallelepiped with only one vertex at the origin and conterminous vertices at $(1, 3, 0), (- 2, 0, 2), and (- 1, 3, - 1)$ .

iohanetc 2021-09-22

Force $\vec{F} = - 10 \hat{j}$ N is exerted on a particle at $\hat{r} = (5 \hat{i} + 5 \hat{j})$ m. What is the torque on the particle about the origin?

Cheyanne Leigh 2021-09-21

Find a unit vector that is orthogonal to both u = (1, 0, 1) and v = (0, 1, 1).

ruigE 2021-09-21

An idealized velocity field is given by the formula $V = 4 t ξ - 2 t^{2} y j + 4 x z k$ Is this flow field steady or unsteady? Is it two or three dimensional? At the point $(x, y, z) = (- 1, 1, 0)$ , compute (a) the acceleration vector.

Tammy Todd 2021-09-21

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

Khaleesi Herbert 2021-09-20

Vector Cross Product
Let vectors A=(1,0,-3), B =(-2,5,1), and C =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers).
(C) $(2 \overset{―}{B}) (3 \overset{―}{C})$
(D) $(\overset{―}{B}) (\overset{―}{C})$
(E) $o v e r \to A (o v e r \to B \times o v e r \to C)$
(F)If ${\overset{―}{v}}_{1} and {\overset{―}{v}}_{2}$ are perpendicular, $| {\overset{―}{v}}_{1} \times {\overset{―}{v}}_{2} |$
(G) If ${\overset{―}{v}}_{1} and {\overset{―}{v}}_{2}$ are parallel, $| {\overset{―}{v}}_{1} \times {\overset{―}{v}}_{2} |$

Alyce Wilkinson 2021-09-20

Differentiate.
$f (θ) = θ \cos θ \sin θ$

bobbie71G 2021-09-19

Find the scalar and vector projections of b onto a.
$a = i + j + k, b = i - j + k$

lwfrgin 2021-09-18

Find $| u \cdot v |$ and determine whether $u \cdot v$
is directed into the screen or out of the screen.
$| u \cdot v | = ? ?$

Emeli Hagan 2021-09-18

Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(2, 0), Q(0, 3), R(3, 4)

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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