I need help with question 2b and 3. Please help it would be awesome if i knew how to do these questions.
v=(2,-4)
w=-3i+2j
Homework Answers
2.b.
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I need help with question 2b and 3. Please help it would be awesome if i knew how to do these questions. v=(2,-4) w=-3i+...
2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find...
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. (ii) Let L be the line in R3 that passes through the point P and is perpendicular to both of the vectors v and w. Find an equation for the line L in vector form. (iii) Find parametric equations for the line L.
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu...
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu ,1,0), u(0,1,1), (10,1). Find scalars c,,s such that 6. (a) Find the area of the triangle with vertices , (2,0,1), (3, 1,2). Find a vector orthogonal to the plane of the triangle. (b)) Find the distance between the point (1,5) and the line 2r -5y1 (i) Find the equation of the plane containing the points (1,2, 1), (2,1, 1), (1, 1,2). 7. (a) Let...
I need some help with this problem, please. Problem 1 Consider the points P = (01,02)...
I need some help with this problem, please.
Problem 1 Consider the points P = (01,02) and Q = (U1, U2), and assume that none of 01, 02, u and uz is zero. (a) Find the slope my through O and P and the slope m2 through O and Q. (b) Let T O P, 7=and let 7.7 denote their inner product. Show that mim2 = -1 if and only if 7.7 = 0. (c) Use part (b) to explain...
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....
I need help with number 23,24,25,26 27,28,29 10 aric 11, 38Mi In Problems answers with positive...
I need help with number 23,24,25,26 27,28,29
10 aric 11, 38Mi In Problems answers with positive exponents only 10. (4abb)" alba twice 12. Factor compleelyab+34ab- 84b 26 (4a-7)(a + 6) 13. Solve the equation using the Zero-Product Property egers 222 (-16) 23. Map On a city map. 4 inches represents 50 miles. How er 10 inches many inches would represent 125 miles? 24. Inventory It takes Trent 9 hours longer than Sharona to do a store's inventory. If they can...
1. Let Q = (-3.-3.-3.3), R = (-3.-3,-33) and S = (1,10,10.1). In the following, when...
1. Let Q = (-3.-3.-3.3), R = (-3.-3,-33) and S = (1,10,10.1). In the following, when rounding numbers, round to 4 decimal places. (i) Find QR and RS. (ii) Find the angle in degrees between QR and RS. (iii) Find ||QŘ|| and ||RŠI. (iv) Find the projection of R$ onto QR. 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. (ii) Let L be...
1. Let Q = (-3, -3, -3.3), R = (-3, -3, -33) and S = (1,...
1. Let Q = (-3, -3, -3.3), R = (-3, -3, -33) and S = (1, 10, 10.1). In the following, when rounding numbers, round to 4 decimal places. (i) Find QŘ and RS. (ii) Find ||QR|| and ||RŠI. (iii) Find the angle in degrees between QR and RS. (iv) Find the projection of RŠ onto QŘ. 2. Let v= [6, 1, 2], w = [5,0,3], and P = (9, -7,31). (i) Find a vector u orthogonal to both v...
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given...
please anyone answer all the questions as soon please
2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Will rate once all is completed. 1) 2) 3) 4) (12 points) Find a basis of...
Will rate once all is completed.
1)
2)
3)
4)
(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
5. (3) Let X = Serie x = ()m - (*) indo 3 x 3 mais...
5. (3) Let X = Serie x = ()m - (*) indo 3 x 3 mais Find a 3 x 3 matrix A such that the projection PAX = e vector X ER projected onto the line I that is parallel to a and passes through the origin. Pex - Ax 6. (4) The line l in Ris given by the equation x + 3y = 0. (a) What is the angle e between the positive x-axis and the line...
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. (ii) Let L be the line in R3 that passes through the point P and is perpendicular to both of the vectors v and w. Find an equation for the line L in vector form. (iii) Find parametric equations for the line L.
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu ,1,0), u(0,1,1), (10,1). Find scalars c,,s such that 6. (a) Find the area of the triangle with vertices , (2,0,1), (3, 1,2). Find a vector orthogonal to the plane of the triangle. (b)) Find the distance between the point (1,5) and the line 2r -5y1 (i) Find the equation of the plane containing the points (1,2, 1), (2,1, 1), (1, 1,2). 7. (a) Let...
I need some help with this problem, please.
Problem 1 Consider the points P = (01,02) and Q = (U1, U2), and assume that none of 01, 02, u and uz is zero. (a) Find the slope my through O and P and the slope m2 through O and Q. (b) Let T O P, 7=and let 7.7 denote their inner product. Show that mim2 = -1 if and only if 7.7 = 0. (c) Use part (b) to explain...
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....
I need help with number 23,24,25,26 27,28,29
10 aric 11, 38Mi In Problems answers with positive exponents only 10. (4abb)" alba twice 12. Factor compleelyab+34ab- 84b 26 (4a-7)(a + 6) 13. Solve the equation using the Zero-Product Property egers 222 (-16) 23. Map On a city map. 4 inches represents 50 miles. How er 10 inches many inches would represent 125 miles? 24. Inventory It takes Trent 9 hours longer than Sharona to do a store's inventory. If they can...
1. Let Q = (-3.-3.-3.3), R = (-3.-3,-33) and S = (1,10,10.1). In the following, when rounding numbers, round to 4 decimal places. (i) Find QR and RS. (ii) Find the angle in degrees between QR and RS. (iii) Find ||QŘ|| and ||RŠI. (iv) Find the projection of R$ onto QR. 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. (ii) Let L be...
1. Let Q = (-3, -3, -3.3), R = (-3, -3, -33) and S = (1, 10, 10.1). In the following, when rounding numbers, round to 4 decimal places. (i) Find QŘ and RS. (ii) Find ||QR|| and ||RŠI. (iii) Find the angle in degrees between QR and RS. (iv) Find the projection of RŠ onto QŘ. 2. Let v= [6, 1, 2], w = [5,0,3], and P = (9, -7,31). (i) Find a vector u orthogonal to both v...
please anyone answer all the questions as soon please
2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Will rate once all is completed.
1)
2)
3)
4)
(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
5. (3) Let X = Serie x = ()m - (*) indo 3 x 3 mais Find a 3 x 3 matrix A such that the projection PAX = e vector X ER projected onto the line I that is parallel to a and passes through the origin. Pex - Ax 6. (4) The line l in Ris given by the equation x + 3y = 0. (a) What is the angle e between the positive x-axis and the line...
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