Suppose that vectors x and y are such that IxI=3 and IyI=4, and the angle between...

Suppose that vectors x and y are such that IxI=3 and IyI=4, and the angle between x and y is 71°. Solve the triangle determined by the vectors 3x , y, and I3x - y I. That is, report all side lengths and angles in this triangle to 3 decimal places accuracy.

Expert Solution

milcah answered 1 year ago

Calculate the angle between the vectors u = {5, -2, 3} and v ={4,-5,7}

Calculate the angle between the vectors u = {5, -2, 3} and v ={4,-5,7} give details.

1) Determine the angle between vectors: U = <2, -3, 4> and V= <-1, 3, -2>...

1) Determine the angle between vectors: U = <2, -3, 4> and V= <-1, 3, -2> 2) determine the distance between line and point P: -2x+3y-4z =2 L: 3x – 5y+z =1 3) Determine the distance between the line L and the point A given by L; (x-1)/2 = (y+2)/5 = (z-3)/4 and A (1, -1,1) 4) Find an equation of the line given by the points A, B and C. A (2, -1,0), B (-2,4,-1) and C ( 3,-4,1)...

If the angle between two vectors is 180 degrees, are the two vectors parallel?

1. a. Determine the angle (in radians) between the vectors 〈4, −5, 6〉 and 〈−2, 2,...

1. a. Determine the angle (in radians) between the vectors 〈4, −5, 6〉 and 〈−2, 2, 3〉. b. Find the vector projection of 〈1, 2, 4〉 onto 〈1, 1, 1〉. c. Compute the cross product 〈2, 3, 4〉 × 〈1, 0, −1〉.

(a) Suppose you are given the following (x, y) data pairs. x 1 3 4 y...

(a) Suppose you are given the following (x, y) data pairs. x 1 3 4 y 4 3 7 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (b) Now suppose you are given these (x, y) data pairs. x 4 3 7 y 1 3 4 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (c) In the data for parts (a) and (b), did...

3. (a) Using x, y, z vectors of each atom in a SO2molecule to derive the...

3. (a) Using x, y, z vectors of each atom in a SO2molecule to derive the reducible representation (assuming that the principle axis is collinear with the z axis and the molecule is lying on the xz plane). (b) Classify the irreducible representations into translational, rotational, and vibrational modes. (c) Which vibrational modes are infrared active. (d) Sketch the three vibrational modes including the symmetric stretch, antisymmetric stretch, and symmetric bend. (e) The calculated IR spectrum of SO2show three peaks...

Two angles, X and Y are complementary, given that angle Y is three times angle X, find the values of each angle

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. a. Find p(Y<3|X=1) b. Find p(Y<3|0.5<X<1)

Solve this differential equation y''+(-4-2-2)y'+(4+4+4+4)y=x y(0)=3-2 y'(0)=2-3 Answer it as y(x)=... and motivate all the steps...

Solve this differential equation y''+(-4-2-2)y'+(4+4+4+4)y=x y(0)=3-2 y'(0)=2-3 Answer it as y(x)=... and motivate all the steps of the calculation

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z)...

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z) b. X×(Y×Z) = (X.Z)Y – (X.Y)Z c. X.(Y×Z) = -Y.(X×Z)

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