8. Consider the vectors u, and w. If 2ū= [2, -2, -6], [-1, 1, 2], and W = [-1, 1, -1] find the exact value of M, if M= |uw| + |uxv|

Q: 3. Do the following sets of vectors in R3 have the same span? and w₁ = (1, -2,-5), w2 = (0,8,9) vi=…

A: The span of a set of vectors, also called linear span, is the linear space formed by all the vectors…

Q: 6. Determine if the vectors vị = (1, -1,3, –1), v2 = (1, –1, 4, 2), v3 = (1, -1,5, 7) dependent or…

A: We have to find that given vectors are linearly dependent  or linearly independent.

Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. {U₁, U₂, U3, U4}…

A: Given that, be a linear combination of .The aim is to find the correct statement about the given…

Q: Select the best statement.

A:

Q: The vectors 3 -1 1 i = -3 11 10 + k are linearly independent if and only if k +|

A: We will find out the required value.

Q: Suppose that u and v are two vectors with |u| = 1, |v| = 4 and u · v = −2. a. Compute |u + v|. b.…

A:

Q: Show that vectors (86, 87, –46), (-8, –6, –2), and (-6, –7, 6) are linearly dependent-that is, there…

A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

Q: 7. Let -4 4 a. How many vectors are in {V1, V2, V3}? b. How many vectors are in Col A? c. Is p in…

A:

Q: 7. Let -3 6 -0--0-0-H [-] 8, V3 11 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are…

A:

Q: Let -3 ----------- V3 2 V1 = 6 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are in…

A: Let and

Q: Use the given vectors to compute u + v, u − v, and 5u − 3v. u = (5, −2),    v = (7, 6)

A:

Q: 3. Determine whether the vectors are linearly independent or are linearly dependent in P2. 1+3x+ 3x,…

A:

Q: Let u = (3, 6, 2), v = - (6, 7, -2), w = (24, 33, h + 0). Determine the value for h so that w is in…

A:

Q: 6. Determine if the vectors à = [−1, 5, 3], b = [−2, 4, 7], and ₹ = [10,7,1] ar are coplanar.

A:

Q: Determine whether the given vectors are orthogonal, parallel, or neither. 1.…

A:

Q: 7. Let +-() वे = -2 and -4 2 3 Find a real number x and a vector such that = -x and 17.

A:

Q: Find the vectors T, N, and B at the given point 16 r(c) = (1², 31², c), (4, 15, 2) T = N = B =

A:

Q: = If w₁, W2, W3 are independent vectors, are the sums V₁ = W2+W3 and V₂ W₁ +W2 independent or…

A:

Q: 4. Show that the vectors v1, v2, and v3 are linearly dependent, where Vị = V2 = and v3 =

A: If we have a set of vectors v1, v2, v3, ..., vn, then they are said to be linearly dependent if…

Q: Let V₁ = 10 3 Is the vector 6 = √3 = and 4 = 6. If not, justify why you know this. -3 in the set…

A: The given vectors, and .The aim is to find the vector  in the set generated by .

Q: If A = [a1, a2, a3] has as columns the three vectors a1, a2, and a3. What is y = Ax, where x is a…

A: