One corner of a rectangular parallelopiped is at (4, 5, 1), and three incident sides extend from this point to (0, 1, 1), (-4, 6, 8) and (-3, -2, 4). Find the volume of this solid.
ihad
used vector method to determine volume of parallelopipe . I had
mentioned correctly all things and calculated your doubt rate me
thumbs up
One corner of a rectangular parallelopiped is at (4, 5, 1), and three incident sides extend...
Consider a unit cube with one corner at the origin and three adjacent sides lying along the three axes of a rectangular coordinate system. Find the vectors describ- ing the diagonals of the cube. What is the angle between any pair of diagonals? 1-7.
5. Consider a rectangular plate with one of the sides of length a lying along the y axis and one of the sides of length b lying along the r axis. The interior of the plate is depleted of electric charge. Only the side lying along the line x = 0 is charged so that the electric potential on that side is held constant at Vo, for 0 < y <a, while the other sides of the plate are kept...
4. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by a fence 5. A rectangular garden of area 75 ft2 is bounded on three sides by a wall costing $8 per ft and on the 6. An open box is made from a 16 x 16 cm piece of cardboard by cutting equal squares from each corner parallel to the short sides of the corral. How much area can be enclosed?...
Three strings, attached to the sides of a rectangular frame, are tied together by a knot as shown in the figure. The Evaluate Feedback Print magnitude of the tension in the string labeled C is 54.1 N. Calculate the magnitude of the tension in the string marked A. 11 10 8 7 5 4 3 2 0- 0 1 2 3 4 56 789 10 11 12 13 14 x-position (cm) n () uorarsod-A
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the field is against an existing wall, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to the existing wall, find the dimensions of the field of largest area that can be enclosed for $1000, 9. (11pts) A candy box is made from a...
Part 1. Random ven 1. Suppose there is a rectangular playground with sides 10 feet and 30 feet respectively. It has a semicircle a point. Find the probability of getting a point. area on one of its sides with radius 5 feet. If a ball hits that area, it will be counted as 2A grocery store sources apples from three suppliers. The first supplier delivers 50% of the apples, and these are all good. The second supplier delivers 30% of...
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides. find the formula that expresses the volume of the box as a function of x.
4. An aquarium with rectangular sides and bottom (but no top) is supposed to have a fixed volume V . Find its proportions so that it will use the least amount of material (in terms of the total surface area of the glass). Ignore the thickness of the glass.(6 points)
Calculate the magnitude at one corner of a square that has sides length ?, if the other three corners each have a charge +2?. Be sure to start with a diagram of the charges with a coordinate system. b) What is the electric potential at that corner? c) Draw an electric field diagram for the system of charges. With a different color pen or pencil, draw in the equipotential lines. d) What is the force on a test charge +?...
1. Consider a rectangular plate with sides a and b of thickness t, as showen in Fig. P1, for the stress function Ø = px3y, where p is a constant, what will be the resultant normal bounday force Py allong the edge of the plate y = b? (a) 3pabt, (b) pa’t, (c) 2pa’bt, (d) 0, (e) none of above YA b 3 4 6 4 2 5 6 5 1 MPa X k a Fig. P1 Fig. P2