Find all values of h such that the vectors (a, a, a3} span R³, where 4 [}}^{}}} a₂ a3 5 h # a₁ -1 7 X

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: Let W be the set of all vectors Select an Answer ✓ 1. -2 -8 V= -2 2 Select an Answer ✓ 2. -3 -8 V=…

A: Given that Now, recall  the definition  of orthogonal  complement.    Now, for option(1):   This…

Q: IP IE Express the vector + =[] y as a linear combination of = [2] -[1] and y=

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Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Consider the vectors in R4: v, = (3, - 2, 5, 0), v2 = (2, 4, – 1, 5) and v = (0, 6, - 2, 1) Compute…

A: To compute the given vectors.

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: Find the angles between each vector in A where the set of vectors A = { [1, 1, 1], [1, 1, 0], [1, 0,…

A: Question explained below :Explanation:ANSWER :​​

Q: Let Are the vectors 7₁, 72 and 3 linearly dependent or linearly independent? linearly dependent [8]…

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Find the value of k for which the vectors 2 1 2 and -3 5 k are orthogonal. k =

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Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

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Q: Find the vectors T, N, and B at the given point. r(e) = (1², 31³, c), (1, -3, -1)

A: Given: and the point.The point occurs at t=-1.We have to find T,N and B at the given point t=-1The…

Q: 1 Let a =-2 and b = -2 | be two vectors. 1 What is |a2|b|2+ |a · b? ?

A: Given that:a=2-21 and b=1-22

Q: -3 1 1 2 -1 3 4 10. Write Nul (A) as span of vectors where A = Then find the dimension of -2 -3 8…

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Q: give vector form for the solution

A: Here we have to find the vector form

Q: 18 as a linear combination of = 8 Express the vector i and j =

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Q: Let a = 2 0 and b = 0 (9) 2 1 be two vectors. What is a|2|b2+|ab|²? [Please enter your answer…

A: Solution :- Given :a = -120 and b = 012a=-12+22=5a2=5b2=12+22=5b=5a.b =-1*0+2*1+0*2=2a.b2=22=4

Q: a State the condition(s) that a, b, c, and d must satisfy for the vector b to be 1 1 -1 and spanned…

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Q: Using index notation, prove the following identities among vectors A, B, C, and D: (a) (A x B). (B ×…

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Q: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

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Q: 1 (a) Write the following vectors as column vectors. i. 4e₁-3e3 +22₂ - 2e₁ € R³. ii. e₂ + ₁ - 52₂ €…

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Q: Find a vector v such that ||v||=5, and v is in the opposite direction of -5i+7j .

A: We have a vector -5i+7j Let u→=-5i+7j First, we find a unit vector in the direction of u→=-5i+7j The…

Q: Find the vectors T, N, and B at the given point. r(t) = (8 cos(t), 8 sin(t), 8 In(cos(t))), (8,0,0)…

A: Introduction: In mathematics, a vector at a degree on a curve is uniquely decomposed because of the…

Q: vectors u and v are such that ||u||=9, ||v||=6 and u*v=-1. Using properties of the dot product, find…

A: Given query is to find the value of the Indicated vector.

Q: -0-0- and b = Let a = be two vectors. What is a|2|b²+|ab|²? [Please enter your answer numerically.…

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Q: Find the vector AB in R2 given in the figure. AB= help (vectors) 6 5 A 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2…

A: From the graph we write the position vector of both points