A box has dimensions of 1.8 m length (y-direction), 1.8 m width (x- direction), and 3.6...

A box has dimensions of 1.8 m length (y-direction), 1.8 m width (x- direction), and 3.6 m height (z-direction). With the head of a vector at the front, bottom, left-hand corner of the box , and the tail of the vector at the back, top, right-hand corner of the box (at the origin); give the vector in Cartesian form, magnitude/direction angles representation, and the unit vector.

Expert Solution

in cartesian form it is -1.8i - 1.8j - 3.6k

magnitude=4.4091 making an angle of 125,27 degree from xy plane

unit vector is given by original vector/magnitude

unit vector = -0.408i - 0.408j - 0.8165k

genius_generous answered 2 years ago

Q11.a. Calculate the cost of a foundation with length x width x thickness dimensions of 1000...

Q11.a. Calculate the cost of a foundation with length x width x thickness dimensions of 1000 x 1200 x 600 mm. Concrete of ratios 1:4:8 will be made and mixed at site with a mixer machine. Assume the following: [8.5] • The manpower service rate for casting the concrete OMR 13 / cubic meter. • The formwork rate is OMR 5 OMR / square meter. • The diesel consumption for the mixer machine is 3 liters / hour. • The...

A plate of length 4m in the direction of the flow and of width 2m is...

A plate of length 4m in the direction of the flow and of width 2m is pulled at a speed of 108 km/h in water at 15oC find the power needed against the shear force for one side of the plate . b- oil with dynamic viscosity=0.1 N-s/m2 and density=863 kg/m3 flows between 2 parallel plates 2.5 mm apart and inclined 30 degrees to the horizontal at a rate of 300 cm3/s per one meter of width. Calculate the pressure...

A) A plastic block that has a length of 0.5 m, a width of 0.26 m,...

A) A plastic block that has a length of 0.5 m, a width of 0.26 m, and a height of 0.33 m, and has a density of 670 kg/m3 floats in both water and oil. If the plastic block is floating at the surface of a tank of water (which has a density of 1000 kg/m3), what is the distance from the top of the block to the surface of the water?If the plastic block is floating at the surface...

A rectangle has a length of 10 inches and a width of 6 inches. If the length is increased by x inches and the width increased

For the following exercises, use the written statements to construct a polynomial function that represents the required information.A rectangle has a length of 10 inches and a width of 6 inches. If the length is increased by x inches and the width increased by twice that amount, express the area of the rectangle as a function of x.

A parabolic trough concentrator with width of 3 m and length of 25 m has an...

A parabolic trough concentrator with width of 3 m and length of 25 m has an absorbed solar radiation per unit area of aperture (S) of 600 W/m2. The receiver is a cylinder with an emittance of 0.3 and is surrounded by an evaluated glass cylindrical envelope. The absorber has a diameter of 50 mm and the transparent envelope has an outer diameter of 100 mm with a thickness of 5 mm. The collector is designed to heat a fluid...

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x...

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x 600 mm and is 3 cm thick. Initially, the box is filled with 40kg of ice at 0°C, and the inner surface temperature of the ice chest can always be taken to be 0°C. The heat transfer coefficient between the outer surface of box and surrounding air at 35°C is 20 W/m2 -°C. (a) Determine how long it will take for the ice in...

The mattress of a water bed has a length of 2.00 m, a width of 2.00...

The mattress of a water bed has a length of 2.00 m, a width of 2.00 m and a depth of 30.0 cm. Find the weight of the water on the mattress and find the pressure exerted by the water on the floor when the bed is in its normal position. Assume that the entire lower part of the bed makes contact with the floor. 1.If the bed were replaced by another that has a weight of 300 lbs and...

An open cardboard box (with no top) is to be constructed so that the width of the box is four times its length.

An open cardboard box (with no top) is to be constructed so that the width of the box is four times its length. The length of the box is labeled x in the picture. You have 100 in2 of cardboard to use. Find the length x and the height y that maximize the volume of the box. (a.) Find a formula for the volume V in terms of x and y. (b) Use the constraint given by the amount of cardboard available...

The length, width, and height of a box are measured as 5 ft, 4 ft, and...

The length, width, and height of a box are measured as 5 ft, 4 ft, and 8 ft, respectively, with an error in measurement of at most 0.3 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.

The length ℓ, width w, and height h of a box change with time. At a...

The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 4 m and w = h = 1 m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 2 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. (b) The surface area. (c) The length of a diagonal....

Question