Find the angle 0 between the vectors. 3x, g(x) = x, (f, g) = (x)g(x) dx %3D !! radians

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: M] - [8] x+y -3x+y.

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Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: Find a + b, 2a + 3b, |a|, and |a – b|. - а 3 (4, - 3), ь - (-4, 3) a + b = 2а + 3b %3

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Q: For what value(s) of h will y be in Span{v1, v2, v3} if Vi = V2 = and y = V3 = 3 h

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Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: Let x and y be unit vectors. Find the value of (x-10y) (x+10y) (x - 10y) (x+10y) =

A: Given that 'x' and 'y' be the unit vectors. To find the value of

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: 2. Find the arc-length parameterization for r(t) = (t + 3,2t - 4,2t), t≥ 3.

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Q: y =-x (b) Use it to project the vector v =

A: Given

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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Q: A rhombus is formed by the points A(2, 4, -1), B(7, 3, -8), C(6, 10, -13), and D(1, 11, -6).…

A: A rhombus is formed by the points .To determine the area of the rhombus.

Q: How could you describe vector subtraction geometrically?

A: We have write about  vector subtraction geometrically

Q: A -3 -2 B -2 The midpoint of AB = ([ ? ], [ ]) M = (, ) %3D X1+X2 _Yi+y2 2 2.

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Q: Q1(A): 19 Marks] Two vectors A and B are located at Pi(2,2,2) and P2(2,-2,-2). Write vector notation…

A: Two vectors A and B are located at P(2,2,2) and P2(2,-2,-2). Write vector notation for each starting…

Q: (i) Find the direction cosines for v = 2, 3, 4 .  (ii) Verify that the sum of their squares equals…

A: We know that If the vector is xi+yj+zk=(x,y,z) and  r=length of x,y,z =√(x2+y2+z2) Then the…