Consider inner-product = | f(x) g(x) dx defined for vector space C[-1, 1] , then for the function f(x) = 3 x the inner-product equals: Select one: О а.6 O b. 3 О с. 1 O d. zero

Q: Let L₁ be the line passing through the points Q₁-(-1.-3, 1) and Q₂-(-4,-6, 2). Find a value of k so…

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Q: Let u be the vector with initial point P(8, -1) and terminal point Q(-8, 3). (a) Graph u in the…

A: Vector is defined as the physical quantity which has both magnitude and direction. Vector defined…

Q: 2) Write the vector v as a sum of proj span{.…...} (v) and proj spo span{m} orthogonal set V₁,..., V…

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Q: Let W1=span{(1,1,0),(-1,1,0)} and W2=span{(1,0,2),(-1,0,4)} Proove W1+W2=R^3

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Q: Let V1, V2, V3 be vectors in R³ given by 1 »-(;) · ~ -(:). = 6 V2 = 2 2 0 The set {V1, V2, V3} is…

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Q: Determine whether the given vector functions are linearly dependent or linearly independent on the…

A: We see,       det [ x1(t)    x2(t) ]               =  |  8        2  |                  |  2t…

Q: Find a vector-valued function whose graph is the plane x+y+z= 12, O r(u, v)=-ui-vj+(12-u-v)k O r(u,…

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Q: (a) Find the best approximation to ✅ by a vector of W. (b) Write as the sum of a vector in W and a…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Given the vector function r(t)=(1−t³, 3t+1, 4+1²), the equation of the tangent parabola/quadratic to…

A: We have to solve given problems: