Find the area of the parallelogram with the following vertice (1, 1, 1), (2, 3, 4), (6, 5, 2), (7, 7, 5)

Q: Think About It Let u be a unit vector. What is thevalue of u ∙ u? Explain.

A: Here given  u be a unit vector. u=1

Q: Y1 Let i = and w = be vectors in R. Compute the following. 42 43 i + w = Preview Preview Preview

A: The given vectors are v→=x1x2x3 and w→=y1y2y3.

Q: Let G be a nonabelian group. If H and K are cyclic subgroups of G, does it follow that H ∩ k is also…

A: Given that G is non abelian group. Given that H and K are cyclic subgroups of G. The cyclic group…

Q: Linear Algebra: Explain the term "Vector basis" giving example to support your answer.

A:

Q: Find two vectors parallel to v with three times the magnitude of v. v = (7,0> Select the correct two…

A:

Q: Find the vector in the direction of ⟨5,−12⟩ with length 3.

A: Given that: Vector is in the direction of <5, -12> and length is 3.

Q: vector (A) = -2 i-5j +2 k vector (B) = -5 i-2j-3 k Find the magnitude of (vector A. vector B)

A:

Q: Find two linearly independent vectors perpendicular to the vector 88 3=

A:

Q: Linear algebra question - determine if set of vectors is linearly independent or linearly dependent…

A: Vectors are as follows:

Q: We define a median vector of a triangle to be the vector from a vertex of the triangle to the…

A: Let ,The triangle be ∆ABC A(x1, y1, z1)B(x2, y2, z2)C(x3, y3, z3)AM→ , BM→ , CM→ be the medians

Q: Write -2 | as a linear combination of the vectors 5 -5 -2 5 = 5+ 0 0 ୦-୦ + 4 --[3][[] 5 1 1

A: Write -5-25 as a linear combination of the vectors -250, 0-34, -551.   As we know the matrix…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.