Boost Your Knowledge with Vectors Explanation

College
Algebra
Linear algebra
Vectors and spaces

Find 2 unit vectors orthogonal to both i+j+k and 2i+k

proximumha 2022-08-05

Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b.
v = 4i - 2j + 6k, b= -2i+j-3k

erkentrs 2022-08-05

Express the vector v as the sum of a vector parallel to b anda vector orthogonal to b.
v = 4i -2j +6k
b= -2i + j -3k

Roselyn Daniel 2022-08-01

Determine if there is a plane in $R^{3}$ which contains both lines $l_{1} a n d l_{2}$ where: $l_{1} : x = 2 t + 3, y = t + 3, z = 3 t + 8$ and $l_{2} : x = 3 s - 2, y = 3 s - 1$ , and z = 4s+1.

Ishaan Booker 2022-08-01

Let a be the two dimensional vector <-2, 4>
Consider a general vector $b \neq 0$ whose position vector makes an angle $θ$ withthe x-axis.
Explain why, no matter what b is, the tip of the positionvector of $\frac{b}{| b |}$ is on the unit circle.

Hayley Bernard 2022-07-30

If the position vectors of points T and S are 3a, - 2a, +a, and 4a, + 6a, + 2a, respectively, find (a) the coordinates of T and S, (b) the distance vector from T to S, (c) the distance between T and S.

Rishi Hale 2022-07-29

Let P be the plane containing the point(-5,-5,5) and with normal vector <3,2,1>. Find thepoint of P closest to the point (6,1,2).

stylaria3y 2022-07-28

Find the distance between the skew lines
$r_{1} (t) = (1; 1; 0) + (1, 6, 2) t$ and $r_{2} (s) = (1, 5, 2) + (2, 15, 6) s$ .

Roselyn Daniel 2022-07-27

Find a unit vector parallel to the vector y=<1,-2,2> which points in the opposite direction.

iarc6io 2022-07-27

Find the unit vector along the line joining point (2, 4, 4) to point (-3,2,2).

Syed Islam2022-07-20

gusitacrescentia 2022-06-19

Let U and W be subspaces of a vector space V. Show that U+W is a subspace of W

Zaid Mehmood2022-06-19

Find two vectors in R*n with Euclidean norm 1 whose Euclidean inner product with (3, −1) is zero

NICHOLAS CHERUIYOT2022-06-19

Let U and W be subspace of a vector space V show that (1) U+W is subspace of v (2) U and W are contained in U+W (3) W+W=W

arsh arsh2022-06-07

Find the basis and dimension of the subspace span
dd by the vectors (2,-3,1), (3,0,1) and (1,1,1)

Богдан Худояров2022-05-29

The vectors {u, v, w} are linearly independent. Determine, using the definition, whether the vectors {v, u v w, u 2v 2w} are linearly independent.

Юра Тихоненко 1 2022-05-19

$\sum 3 + \sqrt{3} = X$ test question her

Suppose $U = {(x, y, x + y, x - y, 2 x) \in F^{5}, x, y \in F}$ . Find a subspace $W$ of $F^{5}$ such that $F^{5} = U \oplus W$ .

For any vectors u, v and w, show that the vectors u+v, u+w and v+w form a linearly dependent set.

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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