Question What is the matrix P = (Pij) for the projection of R3 onto the subspace V spanned by the vectors ---L-- aj = 1-2 a2 = [-3] -3 |? [0] -1 Pu1 = Pi2 = P21 = P31 = What is the projection p of the vector b = onto this subspace? di =

Classify the quadratic forms in Exercises 9–18. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. Construct P using the methods of Section 7.1. 11. 2x² + 10x1x2 + 2x3

Required information [The following information applies to the questions displayed below] A company reports the following beginning inventory and two purchases for the month of January. On January 26, the company sells 350 units. Ending inventory at January 31 totals 150 units. Units Unit Cost Beginning inventory on January 1 320 $ 3.90 Purchase on January 9 Required information [The following information applies to the questions displayed below] A company reports the following beginning inventory and two purchases for the month of January. On January 26, the company sells 350 units. Ending inventory at January 31 totals 150 units. Units Unit Cost Beginning inventory on January 1 320 $ 3.90 Purchase on January 9 80 4.10 Purchase on January 25 100 4.24 Assume the perpetual inventory system is used. Determine the costs assigned to ending inventory when costs are assigned based on the LIFO method. Perpetual LIFO: Cost of Goods Sold Goods purchased Inventory Balance Date Inventory # of units Cost per Cost of Goods unit Sold # of units Cost per unit Balance Cost per # of units unit sold Masure the perperur invenvry agaien a vacu. DET THE Cusis ussigniew wending liventry wien wat die vaaigrice vacu the LIFO method. Goods purchased Perpetual LIFO: Cost of Goods Sold Inventory Balance Date Cost per # of units Cost per # of units sold Cost of Goods Sold Cost per unit Inventory Balance unit unit January 1 January 9 Total January 9 January 25 Total January 25 January 26 Total January 26 # of units

A projectile is launched with an initial speed of 43.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.90 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page. (30 points) a) What is the projectile's velocity at the highest point of its trajectory? (You must find the magnitude and direction of the velocity). Magnitude: (10 points) Direction: (10 points)

See attached aaВW2DaaW1Given that w1 - 15 kN/m, w2 = 14.5 kN/m and a = 1.5 m,determine the internal normal force, shear force and bending|moment at points D and E of the two-member frame. Round allanswers to the nearest integer.Normal force at Din kN (round to the nearest integer):kNShear force at D in kN (round to the nearest integer):kNBending moment at Din kNm (round to the nearest integer):kNmNormal force at E in kN (round to the nearest integer):kNShear force at Ein kN (round to the nearest integer):|kNMagnitude of bending moment at E in kNm (round to the nearestinteger):kNm

a a W2 D a --- E a W1 Given that w1 = 2 kN/m, W2 = 1.5 kN/m and a = 1.5 m, determine the internal normal force, shear force and bending moment at points D and E of the two-member frame. Round all answers to the nearest integer. Normal force at D in kN (round to the nearest integer): Normal force at Din kN (round to the nearest integer): KN Shear force at D in kN (round to the nearest integer): KN Bending moment at D in kNm (round to the nearest integer): kNm Normal force at Ein kN (round to the nearest integer): kN Shear force at Ein kN (round to the nearest integer): KN Magnitude of bending moment at Ein kNm (round to the nearest integer): kNm

A projectile is launched with an initial speed of 50.0 m/s at an angle of 35.0" above the horizontal. The projectile lands on a hillside 3.5 s later. Neglect ar fretion. (Assume that the treats is to the right and the +y-axis is up along the page.) (a) What is the projectile's velocity at the highest point of its trajectory? magnitude m/s direction counterclockwise from the x- (b) What is the straight-line distance from where the projectile was launched to where it hits its target?