7. Givep that D- then N(D) contains B . All vectors that All vectors that belong to both N(A) and N(B) . All vectors that belong to N(A+ B) 4 All vectos that belong to N(AB) belong to N(A) N(B)

Q: Let S be the subset of R2 consisting of all vectors of the form (a, b + 3). a) Show that (5, 2),…

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Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: AB, BC, AC.

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Q: Let v = [2 10. (a) How many vectors does Span {v} contain? (b) List a few vectors in Span {v} and…

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

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Q: Three unique non-zero vectors a, b, and C are defined by four points in space. Select all of the…

A: Proceed as shown below

Q: 4. Subtract the vectors shown. (blue - green)

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Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: Determine whether the set of vectors orthonormal, or neither. O orthogonal O neither {(√².₁. √²)( √6…

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Q: Find all vectors (x, y, z) that are orthogonal to the vectors (1,2,3) and (4,5,6). Remark: there's…

A: We can use dot product or cross product to find a vector perpendicular to two given vector .  Dot…

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: 2. Let a, b and c be vectors in R". Prove that (a) a and (a c)b - (a - b)c are perpendicular; a b…

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Q: V•U Compute u. u, v. u, and using the vectors u = u u u U= (Simplify your answer.) -5 ... and v= 6 3

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Q: 2. Let a, b, c, and d be algebraic vectors in R3, For parts (a) and (b) below, state which theorems…

A: The dot product of the two vectors A→ and B→ is given by the following: A→·B→=||A→||·||B→||·cos θ…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Vektor m =[5, -2, 1] Vektor n =[-6,-2, 4] a. find vektor p where p = -2m+0.5n b. find vektor…

A: a) write p in terms of m and n with the given relation p =…

Q: State whether the vectors are parallel, orthogonal, or neither. v = 2i + j, w = i - 2j O Orthogonal…

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Q: Let a = (a1, a2), b = (b₁,b2) be vectors in R². The area(a, b) is given by 1b₂-a2b₁. (a.) Show that…

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Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

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Q: -3 -3 9. 2 Let A = -3 -6 12 and b = 3 -3 -2 13 -5 Denote the columns of A by a1, a2, a3, and let W =…

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Q: Consider the vectors v₁ ví = (1,2,3,0), v = (0,1,2,3) and vg = (2,3, 4, -3) Let (1, 1, 1, 1) w (a)…

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Q: Solve the system below. Parameterize the solution set. - 2х + Зу + 7z – 4x + 7y + 19z 11 6x 6y 6z -…

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Q: Find all vectors (x,y,z) that are orthogonal to the vectors (1,2,3) and (4,5,6). Find the vector in…

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Q: Find two vectors in R³ which are not in the Span Please be sure to justify your reasoning. { [ 1 2…

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