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(d) For Figure 3(right), a × b = 5. Changing a vector equation to scalar equations....
manitudle of a Vector 5. Reter to Problem 4. Find the following B, e) the scalar...
manitudle of a Vector 5. Reter to Problem 4. Find the following B, e) the scalar product f)內, g) 3 * a) the scalar product b) the magnitude of A, x c) the magnitude of d) the angle between A and B, h) the angle between亡and T 4. Graph the following vectors on the same coordinate system (three dimensions) = -51 + 4)-6k 4. Given the vectors: 궂. 4个.价. Find the following a) A +
Solve the following system of three linear equations by creating (a) a row vector for x,...
Solve the following system of three linear equations by creating (a) a row vector for x, y, and z, and (b) a column vector for x, y, and z (using matlab): -4x+3y+z=-18.2 5x+6y-2z=-48.8 2x-5y+4.5z=92.5
matlab plz Solve the above equation for mi 4 (3 pts Solve following systems of equations...
matlab plz
Solve the above equation for mi 4 (3 pts Solve following systems of equations using 'solver command *+ 2y - Z=1 2x + 3y + z = 2 x + 3y - 2z=1 5) [2 pts] Use fplot to graph the following expression for x values From -3.5 to 2 f(x) = x5 +3.5x* - 2.5x3 + 12.5x2 + 1.5x + 9
3. Consider the following system of linear equations: 2x + 2y + 2kz = 2 kx...
3. Consider the following system of linear equations: 2x + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 7z = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find a vector u orthogonal to both v and w....
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y,...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
e) From the vector equation in part d, we get this system of linear equations (I...
e) From the vector equation in part d, we get this system of linear equations (I changed the variables from ci, c2, and cs to x, y, z so they are easier to use in Geogebra and more familiar): x+3y+z e 0 Originally we solved e 0. Try picking 4 different sets of values for 0 e and using Row Reduction to solve the system of equations. This is good practice. Here is a calculator where you can check your...
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for...
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1...
Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1 = [3, 2, 1]+42. 0, 31+13.0,2]s,t ER. 18. [x,y,:] = [5.-2. 31+43.-2.4]여5.-2, 6] s, t E R. 19. -1+2+3 20. [x,y,s]-[5, 4,-2]+42,-1,-1] 1.3.3]stER. 21. x--t + 22 y-2-1+4s s,tER. 22. Find the values of k such that the three planes never intersect in a point. (3 marks 4x+y- 17- x-y-kz+11-0 Page 3 of 6 23. The equation of a plane...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*)...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
5. (3 pts) Any operator that transfors the same way as the position operator r under rotation is ...
5. (3 pts) Any operator that transfors the same way as the position operator r under rotation is called a vector operator. By "transforming the same way" we mean that V DV where D is the same matrix as appears in Dr. In particular for a rotation about the z axis we should have cos p-sinp0 sincos 0 0 where φ is the angle of rotation. This transformation rule follows frorn the generator of rotations where n is the unit...
manitudle of a Vector 5. Reter to Problem 4. Find the following B, e) the scalar product f)內, g) 3 * a) the scalar product b) the magnitude of A, x c) the magnitude of d) the angle between A and B, h) the angle between亡and T 4. Graph the following vectors on the same coordinate system (three dimensions) = -51 + 4)-6k 4. Given the vectors: 궂. 4个.价. Find the following a) A +
matlab plz
Solve the above equation for mi 4 (3 pts Solve following systems of equations using 'solver command *+ 2y - Z=1 2x + 3y + z = 2 x + 3y - 2z=1 5) [2 pts] Use fplot to graph the following expression for x values From -3.5 to 2 f(x) = x5 +3.5x* - 2.5x3 + 12.5x2 + 1.5x + 9
3. Consider the following system of linear equations: 2x + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 7z = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find a vector u orthogonal to both v and w....
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
e) From the vector equation in part d, we get this system of linear equations (I changed the variables from ci, c2, and cs to x, y, z so they are easier to use in Geogebra and more familiar): x+3y+z e 0 Originally we solved e 0. Try picking 4 different sets of values for 0 e and using Row Reduction to solve the system of equations. This is good practice. Here is a calculator where you can check your...
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1 = [3, 2, 1]+42. 0, 31+13.0,2]s,t ER. 18. [x,y,:] = [5.-2. 31+43.-2.4]여5.-2, 6] s, t E R. 19. -1+2+3 20. [x,y,s]-[5, 4,-2]+42,-1,-1] 1.3.3]stER. 21. x--t + 22 y-2-1+4s s,tER. 22. Find the values of k such that the three planes never intersect in a point. (3 marks 4x+y- 17- x-y-kz+11-0 Page 3 of 6 23. The equation of a plane...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
5. (3 pts) Any operator that transfors the same way as the position operator r under rotation is called a vector operator. By "transforming the same way" we mean that V DV where D is the same matrix as appears in Dr. In particular for a rotation about the z axis we should have cos p-sinp0 sincos 0 0 where φ is the angle of rotation. This transformation rule follows frorn the generator of rotations where n is the unit...
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