Let (u, v) be the inner product on R² generated by A = 1=[ A and let u = (3,-4), v = (-4,5). Find (u, v). (u, v) = 4)

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A: This question is related to vectors, we will solve it using given information.

Q: u= , v=  , w= t is a real number find t so that u,v and w are coplanar

A: Since u, v and w are coplanar, so their scalar triple product is zero, that is  w.[uxv]=0 u x v:…

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

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Q: Show that (x, y) = 5x1y1 – 9x2y2 for vectors x = (x1, x2) and y = (y1, y2) in R2 defines an inner…

A: This question is about application of linear algebra

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A: Given thata)We have to find all possible values of x that make u and v orthogonal.b)We have to find…

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Q: D = 3 u=(9,-4); || u || = -√97 u=(9,-4): || u ||= √97 u=(9,4): ||u||= -√97 u= (9,4); ||u||= √97

A: given u has initial point P at (0,0) and terminal point Q at (9,-4)

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Q: Given K= (-2,-1), L=(2,4), M= (-3,-1) and N= (1,4), Prove that KĽ and MN are equivalent by Showing…

A: Two vectors are Equivalent if they have same magnitude and direction.

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Q: Use the inner product (u, v) = u,V1 2u2V2 to find (u, v). + u = (6i, -i) and v = (i, 7i) (u, v) =

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Q: Let u = (2, -1,3), v = (3,0,1) and w = (-1,-1,3). find all values of I, m and n such that lu + mv +…

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Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: Find the cross and v= product uxv² where û =8i +25 - 2k (-3,-1,8)

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Q: 6) Find two unit vectors that are parallel to the tangent line of f(x) = tan(x) at the point (7,0).

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Q: If u • vx w or v • or w • v equal to zero, then the vectors u, v , and w are coplanar... True False

A: Concept Used: Three vectors are said to coplanar if their scalar triple product is zero That is  [u→…

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A: If rank is less than 2 we will get a matrix which is linearly dependent.

Q: 7) Find all vectors v in F such that 2v + ) -)

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Q: 11) For u = (2,3,-1) and v (-1,01) find; %3D II a) proj,(u) b) The vector component of u orthogonal…

A: For finding projection using the formula, projv(u)=v→.u→v→2v→ The vector component of u orthogonal…

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Q: Find the component of the U along V U=(8,2), v=(3,-4)

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