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Question 1 Let 0 (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the...
1.Let A = 3m@200 South of E, B = 2m North, and C = 5m@700 South...
1.Let A = 3m@200 South of E, B = 2m North, and C = 5m@700 South of West. Write A, B, and C in component form using unit vectors. Find the magnitude and the direction of D= A+B+C 2.Two vectors are given by 16m at 45 degrees from the x axis and 25 m at 30 degrees from the x axis. a. Draw the two vectors to scale. Start the second vector at the end of the first vector. Draw the resultant vector.
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2...
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2 The x-y plane Question 2 2 pts Describe the span of {(1,1,1),(-1,-1, -1), (2,2, 2)} in R3 A plane passing through the origin Aline passing through the origin R3 A plane not passing through the origin A line not passing through the origin Question 3 2 pts Let u and v be vectors in R™ Then U-v=v.u True False Question 4 2 pts Ifu.v...
Let w be a subspace of R", and let wt be the set of all vectors...
Let w be a subspace of R", and let wt be the set of all vectors orthogonal to W. Show that wt is a subspace of R" using the following steps. a. Take z in wt, and let u represent any element of W. Then zu u = 0. Take any scalar c and show that cz is orthogonal to u. (Since u was an arbitrary element of W, this will show that cz is in wt.) b. Take z,...
Vector function problem(Calculus 3) 8) A soccer ball is kicked from the point F(0) (0,0,0) with...
Vector function problem(Calculus 3)
8) A soccer ball is kicked from the point F(0) (0,0,0) with an initial velocity of v(0)(0,80,80) ft/s. The spin on the ball produces a constant acceleration of 1.2 ft/s2 in the x-direction. (Hint: The acceleration due to gravity is g 32 ft/s2. It acts in the downward/negative z direction. So the total constant acceleration on the ball is a(t) (1.2,0,-32).) 0 a) Find the velocity and position vectors for t b) Make a sketch of...
2. Let V be an n-dimensional vector space over C. Classify, up to similarity, all JE C(V), where2...
linear algebra please help on both questions
2. Let V be an n-dimensional vector space over C. Classify, up to similarity, all JE C(V), where2-Idy 3. Recall in assignment 2, no. 7, you showed UoM-lv where U, M E C(V), V-Fİrl,Ms Mr maps p to ap, and U maps 1 to 0 and a to for nEN a. Show that 0 E σ(M). b. Show 0 is not an eigenvalue of M. c. Define an inner product on V: Flr]...
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...
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...
Let V be the set of vectors shown below. V= Ox>0, y>0 a. If u and...
Let V be the set of vectors shown below. V= Ox>0, y>0 a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. a. If u and v are in Vis u + vin V? O A. The vector u + v must be in V because V is a subset of the vector space R2...
Let V be the set of vectors shown below. V= [] :x>0, y>0 a. If u...
Let V be the set of vectors shown below. V= [] :x>0, y>0 a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. O A. The vector u + v may or may not be in V depending on the values of x and y. OB. The vector u + y must be in V...
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+...
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
2. Let and ui be as in Problem 1. Find the following quantitics (a) 2u) (ui-2t). (b) The angle between the vectors (2u) and (wi-2) 3. Let be the line defined by 2r +3y 1. (a) Find an equation of the line parallel to I, running through the origin. (c) Find an equation of the line...
Question 1 2 pts Describe the span of {(1,0,0),(0,0,1)} in R3 The x-z plane R3 R2 The x-y plane Question 2 2 pts Describe the span of {(1,1,1),(-1,-1, -1), (2,2, 2)} in R3 A plane passing through the origin Aline passing through the origin R3 A plane not passing through the origin A line not passing through the origin Question 3 2 pts Let u and v be vectors in R™ Then U-v=v.u True False Question 4 2 pts Ifu.v...
Let w be a subspace of R", and let wt be the set of all vectors orthogonal to W. Show that wt is a subspace of R" using the following steps. a. Take z in wt, and let u represent any element of W. Then zu u = 0. Take any scalar c and show that cz is orthogonal to u. (Since u was an arbitrary element of W, this will show that cz is in wt.) b. Take z,...
Vector function problem(Calculus 3)
8) A soccer ball is kicked from the point F(0) (0,0,0) with an initial velocity of v(0)(0,80,80) ft/s. The spin on the ball produces a constant acceleration of 1.2 ft/s2 in the x-direction. (Hint: The acceleration due to gravity is g 32 ft/s2. It acts in the downward/negative z direction. So the total constant acceleration on the ball is a(t) (1.2,0,-32).) 0 a) Find the velocity and position vectors for t b) Make a sketch of...
linear algebra please help on both questions
2. Let V be an n-dimensional vector space over C. Classify, up to similarity, all JE C(V), where2-Idy 3. Recall in assignment 2, no. 7, you showed UoM-lv where U, M E C(V), V-Fİrl,Ms Mr maps p to ap, and U maps 1 to 0 and a to for nEN a. Show that 0 E σ(M). b. Show 0 is not an eigenvalue of M. c. Define an inner product on V: Flr]...
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...
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...
Let V be the set of vectors shown below. V= Ox>0, y>0 a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. a. If u and v are in Vis u + vin V? O A. The vector u + v must be in V because V is a subset of the vector space R2...
Let V be the set of vectors shown below. V= [] :x>0, y>0 a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. O A. The vector u + v may or may not be in V depending on the values of x and y. OB. The vector u + y must be in V...
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
2. Let and ui be as in Problem 1. Find the following quantitics (a) 2u) (ui-2t). (b) The angle between the vectors (2u) and (wi-2) 3. Let be the line defined by 2r +3y 1. (a) Find an equation of the line parallel to I, running through the origin. (c) Find an equation of the line...
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