7. Given that a,b and are three vectors whereas is a scalar such that axř=b+ã and a = 2. By using the result axbxc)=(ac)b-(à•b)c i) show that = 2ã –ã xã ii) |ã ₁² If a = i + j-2k and b=27-3j+k, determine the vector and the scalar λ.

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

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Q: In each part, find all the roots and sketch them as vectors in the complex plane. (a) (-i)//² (b)…

A: Note : Since you have posted a question with multiple subparts, we will provide the solution only to…

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A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

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Q: i) Using Gaussian Elimination method, verify that x, = 2, x2 = -1, and x3 = 3. ii) Show that b is in…

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Q: Do question two only

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Q: Do question 12 only

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A: We are given the vectors and we have to solve given problem.

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: 5.) Let V₁ = - -2 V₂: Is b a linear combination X₁V₁ + x₂ V₂ = b. 5 b=4 of v₁ and v2; that is, does…

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Q: . Consider the following vectors 7 -3 b₁ ( 1 ), b₂ = (-1), G₁ = ( 1 ) ₁2 = (-²). C1 , 5 2 and…

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Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

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Q: Do question 10 only

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Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: 12 2 14- = -3 are 3 Determine if the pair of vectors V₁ = 3₂ orthogonal.

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Q: 1. Let A be an n x n matrix and x is a scaler. Show that det(x A)=x" det(A).

A: Solution:-          It is given that , A is any n×nmatrix and α is a scaler .…

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Do question 9 only

A: Step 1: Compute the Gradient of 𝑓Given f(x,y)=x2ey,Compute the partial…

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A: solve the following

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Q: Find two different combinations of the three vectors u = (1,3) and v = (2,7) and w = (1,5) that…

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