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4. A triangle has vertices at W(2,3), V(-6,-3) and X(0,-5). Use algebra to 1) determine the...
LarPCalc8 8.1.012 45 points 1. Determine the order of the matrix. 47 15 0 -1 0 3 3 6 7 -3 1 O-15 points LarPCalc8...
LarPCalc8 8.1.012 45 points 1. Determine the order of the matrix. 47 15 0 -1 0 3 3 6 7 -3 1 O-15 points LarPCalc8 8.1.020. 2. Write the augmented matrix for the system of linear equations. {Sx 4y-2z 24 -21y +8z -3 8x + O-15 points LarPCalc8 8.1.022 My Nete 3. Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.) 7 -5-4 3 39 8 O-5 points...
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T :...
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T : R3 → R defined by T(x,y) = xy is linear transformation or not (show all the axioms ) b) Find u.v given that | u +v1=2 and u-v||=6 c) Let V and U be vectors in R” Then prove V.U\<|||||||||| A = 2 11 - 2 3 1-27 d) suppose 4 1, V = 0,U = 2 -1 0 5 4 1) Determine whether...
Determine the size of uw SELECT ALL APPLICABLE CHOICES A) 1.21 Cw2.72 E) w 1.42 G) w 1.35 I) none of these 1.66 6 parallel width stripes D) w^ 1.18 H) w 1.31 Suppose each triangle has perimeter 16in,...
Determine the size of uw SELECT ALL APPLICABLE CHOICES A) 1.21 Cw2.72 E) w 1.42 G) w 1.35 I) none of these 1.66 6 parallel width stripes D) w^ 1.18 H) w 1.31 Suppose each triangle has perimeter 16in, select the correct statements about angle a SELECT ALL APPLICABLE CHOICES A) a 16.3° C) a 18.30 E) a 31.2 G) a 27.2 I) none of these B) a 12.7° D) a 14.1 Fa 11.5 H) a 34.9'°
Determine the size...
1) The three charges are at the three vertices of an equilateral triangle ?( all angles...
1) The three charges are at the three vertices of an equilateral
triangle ?( all angles are 60degrees)
q 1 = + 3.0 µC
q 2 = - 3 .0 µC
q 3 = + 6 .0 µC
1 µC = 10-6
C
Equilateral side of the triangle = 10
cm =0.10 m
Draw the force acting ONLY on q
1by q 2 on the figure .
Label this force F2
b) Find the components of force
F2 ...
Linear Algebra: 1. 1.9 #6 For the following W = Span({(2,6,5,-4),(5,-2,7,1),(3,-8,2,6)}) a. Assemble the vectors into...
Linear Algebra:
1. 1.9 #6 For the following W = Span({(2,6,5,-4),(5,-2,7,1),(3,-8,2,6)}) a. Assemble the vectors into the rows of a matrix A, and find the rref R of A. b. Use R to find a basis for each subspace W, and find a basis for W as well. Both bases should consist of vectors with integer entries. c. State the dimensions of W and W and verify that the Dimension Theorem is true for the subspaces.
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths 3,2 and 1. b) Identify the adjacent and opposite sides relative to the 30° angle c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle. 2) a) Draw a right triangle that has one angle measuring 45°. Label the sides using the lengths 1,1, and VE b) Identify the adjacent and opposite sides relative to one of...
Use your rules for translations and reflections to create a picture. You may do this on paper or using a computer program, such as Geogebra. Follow each step, in o 1. Graph a hexagon with vertices at...
Use your rules for translations and reflections to create a picture. You may do this on paper or using a computer program, such as Geogebra. Follow each step, in o 1. Graph a hexagon with vertices at (-4, 0), (-2, 0)·(-1,-1), (-2,-2), (-4,-2), and (-5,-1). 2. In the center of the hexagon, label it A. 3. Reflect hexagon A across the y-axis 4. Label the reflected hexagon A 5. Go bak to hexagon A, and translate it using the rule...
5. The vertices of a parallelogram are the origin and points A(-1, 4), B(3, 6), and...
5. The vertices of a parallelogram are the origin and points A(-1, 4), B(3, 6), and C(7, 2). Write the vector equations of the lines that make up the sides of the parallelogram. [A/C-4) 6. A line has the same x-intercept as (x, y, z) = (-21, 8, 14] + t[-12, 4, 7] and the same y-intercept as (x, y, z) = [6,-8, 12] + s[2, -5, 4]. Write the parametric equations of the line. Justify your answer. [T/C-3]
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
LarPCalc8 8.1.012 45 points 1. Determine the order of the matrix. 47 15 0 -1 0 3 3 6 7 -3 1 O-15 points LarPCalc8 8.1.020. 2. Write the augmented matrix for the system of linear equations. {Sx 4y-2z 24 -21y +8z -3 8x + O-15 points LarPCalc8 8.1.022 My Nete 3. Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.) 7 -5-4 3 39 8 O-5 points...
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T : R3 → R defined by T(x,y) = xy is linear transformation or not (show all the axioms ) b) Find u.v given that | u +v1=2 and u-v||=6 c) Let V and U be vectors in R” Then prove V.U\<|||||||||| A = 2 11 - 2 3 1-27 d) suppose 4 1, V = 0,U = 2 -1 0 5 4 1) Determine whether...
Determine the size of uw SELECT ALL APPLICABLE CHOICES A) 1.21 Cw2.72 E) w 1.42 G) w 1.35 I) none of these 1.66 6 parallel width stripes D) w^ 1.18 H) w 1.31 Suppose each triangle has perimeter 16in, select the correct statements about angle a SELECT ALL APPLICABLE CHOICES A) a 16.3° C) a 18.30 E) a 31.2 G) a 27.2 I) none of these B) a 12.7° D) a 14.1 Fa 11.5 H) a 34.9'°
Determine the size...
1) The three charges are at the three vertices of an equilateral
triangle ?( all angles are 60degrees)
q 1 = + 3.0 µC
q 2 = - 3 .0 µC
q 3 = + 6 .0 µC
1 µC = 10-6
C
Equilateral side of the triangle = 10
cm =0.10 m
Draw the force acting ONLY on q
1by q 2 on the figure .
Label this force F2
b) Find the components of force
F2 ...
Linear Algebra:
1. 1.9 #6 For the following W = Span({(2,6,5,-4),(5,-2,7,1),(3,-8,2,6)}) a. Assemble the vectors into the rows of a matrix A, and find the rref R of A. b. Use R to find a basis for each subspace W, and find a basis for W as well. Both bases should consist of vectors with integer entries. c. State the dimensions of W and W and verify that the Dimension Theorem is true for the subspaces.
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths 3,2 and 1. b) Identify the adjacent and opposite sides relative to the 30° angle c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle. 2) a) Draw a right triangle that has one angle measuring 45°. Label the sides using the lengths 1,1, and VE b) Identify the adjacent and opposite sides relative to one of...
Use your rules for translations and reflections to create a picture. You may do this on paper or using a computer program, such as Geogebra. Follow each step, in o 1. Graph a hexagon with vertices at (-4, 0), (-2, 0)·(-1,-1), (-2,-2), (-4,-2), and (-5,-1). 2. In the center of the hexagon, label it A. 3. Reflect hexagon A across the y-axis 4. Label the reflected hexagon A 5. Go bak to hexagon A, and translate it using the rule...
5. The vertices of a parallelogram are the origin and points A(-1, 4), B(3, 6), and C(7, 2). Write the vector equations of the lines that make up the sides of the parallelogram. [A/C-4) 6. A line has the same x-intercept as (x, y, z) = (-21, 8, 14] + t[-12, 4, 7] and the same y-intercept as (x, y, z) = [6,-8, 12] + s[2, -5, 4]. Write the parametric equations of the line. Justify your answer. [T/C-3]
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
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