Boost Your Knowledge with Vectors Explanation

College
Algebra
Linear algebra
Vectors and spaces

How to find absolute value of a vector in this question?
a = {1, 3, 5}
Then in formulas see this |a|

Mary Buchanan 2021-12-15

How do you find the scalar and vector projections of b onto a given $a = i + j + k$ , $b = i - j + k$ ?

Joseph Krupa 2021-12-15

Find an equation for the plane that
(a) is perpendicular to $f{v} = (1, 1, 1 f {v} = (1, 1, 1)$ and passes through (1,0,0).
(b) is perpendicular to $f{v} = (1, 2, 3 f {v} = (1, 2, 3)$ and passes through (1,1,1).
(c) is perpendicular to the line $f{l}(t) = (5, 0, 2)t + (3, −1, 1 f {l} (t) = (5, 0, 2) t + (3, - 1, 1)$ and passes through (5, −1, 0)(5,−1,0).
(d) is perpendicular to the line $f{l}(t) = (−1, −2, 3)t + (0, 7, 1 f {l} (t) = (- 1, - 2, 3) t + (0, 7, 1)$ and passes through (2, 4, −1)(2,4,−1).

chezmarylou1i 2021-12-12

Find the area of the parallelogram with vertices A(−3, 0), B(−1, 7), C(9, 6), and D(7, −1).

David Young 2021-12-12

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
$A (1, 0, - 1), B (3, - 4, 0), C (1, 3, 5)$

aspifsGak5u 2021-12-11

Find the area of the parallelogram with vertices A(-3, 0), B(-1 , 3), C(5, 2), and D(3, -1).

garnentas3m 2021-12-11

Let
$U = S p {(3, 3, 1)}$
How can I find the Orthogonal complement ? Im

Zerrilloh6 2021-12-11

Determine whether the following vectors are linearly independent in $P_{3} : x + 2, x + 1, x^{2} - 1$

burkinaval1b 2021-12-10

Find the point on the plane x-y+z=4 that is closest to the point (1, 2, 3).

In figure B, a standard man (mass = 70 kg) uses crutched. The crutches each make an angle of  = 250 with the vertical. Half the standard man’s weight is supported by the crutches; the other half is supported by the normal force acting on the sole of the feet. Assuming the standard man is motionless, calculate the magnitude of the force supported by each crutch

hrostentsp6 2021-12-06

At what point on the paraboloid
$y = x^{2} + z^{2}$
is the tangent plane parallel to the plane
x+2y+3z=1?

rescuedbyhimw0 2021-12-06

Determine the dimension of the subspace spanned by the given vectors
$[\begin{matrix} 1 \\ 0 \\ 2 \end{matrix}], [\begin{matrix} 3 \\ 1 \\ 1 \end{matrix}], [\begin{matrix} 9 \\ 4 \\ - 2 \end{matrix}], [\begin{matrix} - 7 \\ - 3 \\ 1 \end{matrix}]$

Serotoninl7 2021-12-05

Find the points on the surface $y^{2} = 9 + x z$ that are closest to the origin.

zachutnat4o 2021-12-05

Find a basis for the span of the given vectors.
[0 1 -2 1], [3 1 -1 0], [2 1 5 1]

Ashley Searcy 2021-12-05

Find the angle between the vectors v and w in the following: $v = {(4, 1)}^{T}, w = {(3, 2)}^{T}$ .

signokodo7h 2021-12-05

Find the divergence of the vector field.
F(x,y,z)=(x+yz)i+(y+xz)j+(z+xy)k

protisvitfc 2021-12-04

Determine the head of the vector
$[\begin{matrix} - 2 \\ 5 \end{matrix}]$
whose tail is (-3,2). Make a sketch

signokodo7h 2021-12-03

Let W be the set of all vectors of the form [a, b, c], where a, b, and c represent arbitrary real numbers. In each case, either find a set S of vectors that spans W or give an example to show that W is not a vector space.
$[\begin{matrix} 4 a + 3 b \\ 0 \\ a + b + c \\ c - 2 a \end{matrix}]$

signokodo7h 2021-12-03

Find the distance from the origin to the line
x=1+t, y=2-t, z=-1+2t

gabioskay7 2021-12-03

Find the dimension of each of the following vector spaces. (a) The vector space of all diagonal $n \times n$ matrices. (b) The vector space of all symmetric $n \times n$ matrices. (c) The vector space of all upper triangular $n \times n$ matrices.

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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