4. Find the largest possible number of independent vectors among V1 =<1, -1, 0, 0>, v2 = <1, 0, -1, 0>, v3 = < 1, 0, 0, -1>, v4 =<10, 1, -1, 0>, v5 =<10, 1, 0, -1>, v6 = <0, 0, 1, -1>.

Q: 6. If u,v, and w are three vectors in R', describe their linear span.

A: 6. If u,v and w are three vectors in R7, we have to describe linear span.

Q: Determine whether the set of vectors is orthogonal. 4 2 - 4 -4 - 3

A: To determine Whether these sets of vectors are orthogonal or not.

Q: 26. Find the vector that has the same direction as (6, 2, -3) but has length 4.

A:

Q: Are the following vectors linearly independent? Yes No , ,,

A:

Q: Consider the vector v between (-5,5, –3) and (1,1, 1).

A:

Q: Are the following vectors linearly independent? ,,

A:

Q: Find the largest linearly independent set of vectors from the list given below. V2 = vz = %3D

A:

Q: Find the vector v = PQ. Р3 (1,6, 5) Q = (5, 7, 1)

A: To find vector v=PQ→.

Q: Sketch the given vector with initial point (1, 6). u = (-7, -4)

A:

Q: ,,,

A:

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent.S = {7 − 4x…

A:

Q: Find a vector that has the same direction as [4, 2,5] but has length 35.

A:

Q: 5. 3 2 tu

A:

Q: make an example and prove it about five vectors spanning R⁴

A: Given: Five vector spanning R4  We need to form an example and prove the given statement 'Five…

Q: For what values of m and n are vectors [m,n,1], [2,1,3] and [2,1,1] coplanar?

A:

Q: Are the vectors (-3,0,4), (5,-1,2), and (1,1,3) linearly independent in R3?

A:

Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: 6. Find the largest possible number of independent vectors among V3 = V4 = V6 = Justify your answer.

A:

Q: 1. Use the right hand rule to determine which of the following vectors ( î, -î, ĵ, -ĵ, k, –k ) would…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Consider the vector v between (-5, 5, –3) and (1, 1, 1).

A:

Q: 2) How many different vectors are drawn here? -/

A: 3 vectors are same which has same direction and magnitude and other 2 vectors are same in direction…

Q: 6 2 Show that it is vectors are lineas dependent line or independent.

A:

Q: The set of vectors u = , and u2= are Linearly dependent having rank 1 having rank 3 Linearly…

A: In this question, we need to check whether the given set of vectors are linearly independent or…

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east

A:

Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

A:

Q: Are the following vectors linearly independent? , ,

A: A set of vectors v1,v2,...,vk is linearly independent if the vector equation x1v1+x2v2+···+xkvk=0…

Q: A set of 3 vectors in IR^4 spans IR^4. Is this true or false?

A: Given statement is, “A set of three vectors in R4 spans R4.”

Q: Are the following vectors linearly independent? , , ,

A:

Q: 2 Determine the tail of the vector 4 whose head is (3, –2, 2).

A: To determine- The tail of the vector 24-1 whose head is 3-22.

Q: Find three different vectors that are in the span of the given vectors. u2 = U3 = -2 6. 2

A: The vectors which belong to the span of given vectors can be written as the linear combination of…

Q: 4. Give an example of vectors in R3 that spans R3. (show works)

A:

Q: Find the length of the vector.v = (2, 0, −5, 5)

A:

Q: The set of vectors u = , and u2= are having rank 3 having rank 1 Linearly independent Linearly…

A:

Q: b) Express the vector (–1,5, -6) in R³ as a linear combination of (2,0, 7), (2,4, 5) and(2, –12,13).

A: See the detailed solution below.

Q: Determine whether Hhe Lindependent. by inspection Vectors are linearly 6. -2 -3

A: A vector is given

Q:

A:

Q: 1 -1] 5 -4 2 1 -3 1 -2 -1 3 2 16

A:

Q: Is the set of the three vectors S linearly independent? Explain why. S = 2

A: From the definition, a set S=v1,v2,v3 is said to be linearly independent if the linear combination…

Q: Find the length of the vector v = (10, 1, 5).

A:

Q: 3. Show that that the vector u = |-5 is a linear combination of the vectors vị = |-3 3 2 V2 = -4 and…

A:

Q: - Find the length of the vector -3v if v = (2, 3, -2, 1).

A: Givenv=(2,3,-2,1)-3v=(-6,-9,6,-3)

Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: 9. Is the set of vectors {(-2, 2, 0), (1, 1, 1), (8, -4, 2)} over R linearly dependent or…

A:

Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: 11) in triple cross of vectors (A x C) x B = C x (B x A).

A:

Q: the vector from P1(1, 3) to P2(4, –2) is

A: Given :

Q: Show that the vectors are orthogonal.

A: Given : 3,6 and 4,-2