if u and y are vectors in a vector space and (u, v) is an inner product then which one of the following properties is NOT satisfied? Select one: Oa. (u, u) < 0 Ob. (u, v) = (2, u) %3D Oc. (au, v) = a(u, v) Od. ((u + v), w) = (u, w) + (v, w) %3D

Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

A:

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

A:

Q: Let ū = (4, –2), ū = (-2,0), and w = (2, 2). Find the vector x that satisfies Tu – u +x = 5x + w. In…

A: Given Let Plugging the values in the equation:

Q: Consider the vectors u =(1,9,4) and v =(-16,0,-4).| The vector W" =(x,0,z) that simultaneously…

A:

Q: Write vas the sum of two vector components if v= 2i+jand w=3/- 2j. O-(-+)+(¹+) O )+(¹+)) O (+)+(+) O…

A: Write v as the sum of two vector components if v=2i+j and w=3i-2j.

Q: Q4) The vector product of two vectors is scalar product. F O T

A:

Q: Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9…

A:

Q: Find a vector v parallel to the intersection of the planes - (x + y + 3z) = 4 and 3y - 3x - z = 7.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Show that v, = (1,0,–1) , v, = (1,0,1) , v3 = (1,1,1) span R’. %3D Express vector v= (4,2, 2) as…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

A:

Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·A·B·0-0-0-0 x 3 +y -2 +2 1 = 1…

A: We want to find values of x, y and z which satisfy given equation.

Q: 10) Find two vectors of norm 1 that are orthogonal to the vectors u = and

A: Consider the provided question, u=12-23 and v=2134 Let w=ABCD be such a vector,Then, w·u=0…

Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

A:

Q: Q3 O Let w-l(a,b,c), b= 3a} is Sub Sehoof RE a Sub Spaceef R32 is s w X, = i +2j - K , Xz= -3i+2j-R…

A:

Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

A: We find a vector v that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4,…

Q: Let u =[3, -1] and v = [0, 1] can you find the vector[h, k] that is not in Span{u,v}? either give an…

A:

Q: For the vectors x=(1, -1, i, -i) and y=(1, i, -1, i) find the span(x,y)

A:

Q: The cross product of the vectors u = (a₁, a2, a3) and v = (b1,b2, b3) is the vector i j U XV = =…

A: The given vectors are u=1, 0, 1 and v=7, 8, 0. We have to find the value of u×v.