unitary space, then prove that If a, B (a, B) = Re (a, B) +i Re (a, iß). are two vectors in a %3D

Q: What is the scalar projection of vector a given by (a₁,a2,a3) in the direction of vector b given by…

A: We have to find the scalar projection of a in the direction of b.

Q: Determine whether the vectors (3,0, 3, 6), (6,0, 0, 3), (0,0,3,0),(6,3,9,12) form a basis of R*.

A:

Q: cannot be found in such a general cas explain why. In either case, justify you 2) Let a and b be two…

A:

Q: Prove that the vectors (a1, a2), (B₁, B₂) = R× Rare linearly dependent iff α₁ß2 - α2ß₁ = 0.

A: The given vectors are  and We have to show that the given vector is linearly dependent if

Q: (×q) × (gxv) + (gxg) x (xv) + (x) x (qxv)

A:

Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

A: Solution

Q: A vector of 2 unit length parallel to vector 2i + 2j+k is:

A: We know a vector consists of magnitude and direction as we have to find the direction parallel to…

Q: The two vectors u=(-2,3,1,4) and v= (1,2,0, -1) are orthogonal in the vector space R4 True False

A:

Q: Prove that a set of non -zero vectors {x1,x2,...,xn) is linearly dependent if some of these vectors…

A: A set of non-zero vectors {x1,x2,...,xn} is linearly dependent if some of these vectors say xi is a…

Q: 2/ find vectors that Span of A A = 1 1 25 139 Kernel

A: NOTE: Refresh your page if you can't see any equations. . convert the given matrix into RREF

Q: 5. Given the data below on the sugar content (as a percentage of weight) of several national brands…

A:

Q: Find a unit vector in the direction of u =

A: Here is the solution:

Q: Represent the product [a* · (b* × c)][m* · (n* × p*)] as a sum of such terms, which contain scalar…

A:

Q: Suppose that three vectors u, v, and w are linearly independent in some vector space. Are the…

A:

Q: Compute the Binary distance between vectors [2, 1, 0] and [8, 5, 0].

A: Given vector points are (2, 1, 0) and (8, 5, 0)  Let (x1 , y1 , z1 ) = (2, 1, 0) And (x2 , y2 , z2 )…

Q: Let v1, V2, V3 and u be vectors in R". If u is orthogonal to each of v1, V2, and v3 then u is…

A:

Q: Determine whether the set of vectors {(2,-1,3),(4,1,2),(8,-1,8)} form a basis for R3.

A: Consider the vectors : 2,-1,3, 4,1,2, 8,-1,8 To form a basis these vectors, the vectors must be…

Q: Which of the following statements is not true for vectors a, b and c and scalars a andB (A) ax (ab)…

A: Here we will  check one by one and then tell about given statments.

Q: Using the transformation law for vectors, prove that for any two vectors Ā, B, the inner product of…

A: As per the question we have to prove that the inner product of two vectors is invariant of…

Q: Edit 396 V396 Edit 396 396 show Work for this question: Modify Show Work

A: Given 3 vectors, u=5, 4, -5, 0, v=-1, -1, 1, -1, w=3, 2, 4, 5 Let,  x1=u-v=6, 5, -6, 1x2=u-w=2, 2,…

Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b = (2, 1, 1) comp b= proj₂b =

A: Given that the vectors a=-3,-6,2 b=2,1,1   .

Q: Show that the vectors (4-3) and (5,2) form a basis CF TR

A:

Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: let az = (2,-1.0), az1 = (0,1,2), az2 = (1,-1,3) in R³ space. %3D %3D a) Can the vector (7,-6,7) be…

A: