a b Let A = ( d e f g h i. Find the column vector B such that AB =

Q: Find a vector B such that F = V × B and V · B = 0 where F %3D (x + Зу, у — 2z, х - 2z). %3D

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Q: Let B=[u, be a base for V=R², where = (1,2) and =(-1,1). We know that every vector in V is a linear…

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. -2u

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Q: Let v = (8, 15). a. Find a vector in the direction of v that is three times as long as v. b. Find a…

A: Given vector

Q: Y1 Let v = and w = be vectors in R. Compute the following. Y2 Y3 Preview Preview Preview

A: Given the vectors        v→=x1x2x3 and w→=y1y2y3 be vectors in ℝ3. Compute w→-v→.

Q: Let I and g be unit vectors. Hence T-T= -G = 1. Calculate the inner products I (-1) and (T+g) -…

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Q: Express the vector in the form (V= a i+ b j+ c k) *, if A (1,0,3) and B is (-1,1,1) OV=-2 i+j-2 k O…

A: Express the vector in form (V= ai+bj+ck) If A(1,0,3) and B(-1,1,1)

Q: Let v= ( -2, 4 ) and a= ( 1, 1 ) . Find the vector component w=proj,v of v along a . W =2a OA. W= 3g…

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Q: Find the scalar product of the vectors B an 1 C n Figure 1.

A: Given

Q: nd the values of the scalars a, b, c such that -2,1, –3) = a(2, -1,1) + b(1,3,–2) + c(-2,1,–3) %3D

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Q: bx (a x c)d represents a vector value. O True O False

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Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: f and g are two scalar functions and v is a vector function. Please prove the following identities •…

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Q: Her the vec vector fie

A: Consider a vector field  F=x4y5,x5y4 Let F=F1,F2 Now to show the vector field is conservative  That…

Q: : J.uz = [* u3 = in M22 are linearly dependent or linearly Are the vectors u = independent? g= -3 h=…

A: If we have non-zero vectors u,v and w and if we have  au + bv + cw = 0  then u,v and w are said to…

Q: Refer to the figure and carry out the following vector operations.

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Q: 12. Let A = ( d ef g h Find the column vector B such that AB =

A: Let A be a square matrix. Use the following formulae, to obtain the required result.

Q: a b Let A = ( d e f h Find the column vector B such that AB %3D g i h

A: Let A be a square matrix. Use the following formulae, to obtain the required result.

Q: Consider two linearly independent vectors a = b 1 (а) (b) compute ||a – b|| find the vectors c E…

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Q: ILS] Demonstrate how any vector x ER can be expressed as a linear combination of the following…

A: Please find the answer of the first question in next step

Q: a cube of side and a function vector + zk calculate 57 Considering B=√xi-y B. dv V

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Q: Find a vector orthogonal to both given vectors u and v . u=2i-3j +k  v= -3i +4 j +4k

A: Given, u=2i-3j +k  v= -3i +4 j +4k    We have to find the orthogonal vector to both given vectors u…

Q: Use the triple scalar product to find the value of p that makes the three vectors below coplanar.…

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Q: W 2-Find a vector that is perpendicular to both B = i +j-k B = 4i – j 1. A = 2i +7j – 4k | > 2. A…

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Q: Considering B=√xi-y a) Sv B dv a cube of side and a function vector + zk calculate

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: For any vector A, (A.i)i + (A .j)j+ (A .k) k = A 0 صواب İhi O

A: Let A = x i^ + y j^ + z k^

Q: Find the value of u that make the set of vectors {a, b, c, d} linearly dependent. [1 2 1 1] b = [0 1…

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Q: v, w : 3x1 vector R: rotation matrix R(Vxw ) = (R) x (RW) show me that there is the expression

A: The main objective is to prove the given expression.

Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. u +…

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: What is the y component of vector a? Only provide an integer answer such as 0, 5, 10, etc. 10 10…

A: Start from the origin and count the number of blocks required in the direction of x and y axes to…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: Q1) Let a= 2 1 a) Compute a·b а. b) Find a unit vector u in the direction of a. c) Is a and b…

A: We have to find if a and b are orthogonal and find the disstance between them.

Q: Choose the linearly dependent vectors in R'. Select one: а. O b. O d. -2

A: The solution is given below

Q: Determine all vectors v that are orthogonal to u. (Set v =t and va =s and solve for v- u = (6, -1,…

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Q: 7. For vectors a and b in R? prove Lagrange's identity: ||a x b|? = ||a|| ||b||? – (a · b)?

A: for vectors a and b in ℝ2 prove -lagrange's identity a×b2=a2b2-a·b2

Q: Find the value of h such that the vectors ()()(E) 1 2 h 1 1 are linearly dependent? Show details of…

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Q: A. Find the values of a are orthogonal . such that vectors and

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 2 If a and b are vector functions and T a second-order tensor function of position, show the…

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Q: onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

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Q: b × (a x c)d represents a vector value. O True O False

A: Cross product of two vector quantities is vector. Therefore, a×c will be a vector.

Q: Match the vector fields: ? curl(F)=0 ? curl(F)=2 ? curl(F)=0 1. div(F)=4, 2. div(F)=0, 3. div(F)=-1,…

A: Note: As company policy, we solve first sub-parts only. Please re-submit those parts which you'd…

Q: Let non-coplanar vectors a, b and c. |a| = \b| = 1, le| = 4, a 1 b, (c,a) = (c, b) = (c^a) = (c:d) =…

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Q: 2i + j + 3k 14 direction of a = 2i + j + 3k b= Select one: O True O False is the unit vector in the

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Q: 7. For vectors a and b in R² prove Lagrange's identity: ||a x b||? = ||a||*||b|² – (a - b)²

A: Let's find.

Q: Find all values of h such that the vectors {a,, a,, a,} span R, where a2 a3

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.