Answered: Find the volume of the parallelepiped…

Find the volume of the parallelepiped (box) determined by u, v, and w. u v w i+ 2j 2i - 2j + 3k 2i + k The volume of the parallelepiped is (Simplify your answer.) units cubed.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 8AEXP

See similar textbooks

Related questions

Q: 21. The rectangle below represents the base of a rectangular prism. Use a ruler to measure the…

Q: 9 cm 4 h cm A cylinder and its dimensions are shown. Which equation can be used to find V, the…

A: volume of cylinder = πr2h r = radius of cylinder h = height of cylinder

Q: A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo…

A: Volume of a cylinder = π·r2·h where r is the radius of the circular base and h is the height of the…

Q: 99 A sphere has a volume equal to in'. Determine the length of the radius of the sphere. (Use T - 22…

A: Given: A sphere has a volume equal to 997 in3. To determine: The radius of the sphere.

Q: The volume of a truncated prism with an equilateral triangular base is equal to 3600 m^3. The…

A: Here is the solution

Q: Find the surface area of the hexagonal pyramid. The base area is 166.3 cm2. 12 cm 8 cm Your answer:…

A: NOTE: Refresh your page if you can't see any equations. . the base of the triangle is b=8 cm and the…

Q: 10) An ice-cream vendor presses a sphere of frozen yogurt into a CONE. Explain step by step how you…

A: Given radius of sphere r= 4

Q: 2. A lampshade is in the shape of a frustum of a cone. The vertical height of the shade is 25.0 cm…

A: Given data÷ Diameters at the both ends÷ d=10cm D=20cm Vertical height h=25cm To find area of the…

Q: 3. Here is a triangular prism. 4 cm 5 cm 5 cm 10 cm 6 cm + a. What is the volume? The volume is got…

A: a. Volume of the given figure shall be: V=Area of triangle×length First we shall find the area of…

Q: The volume of the square-based box shown below is 256 cm'. a) Find h in terms of / If the box has an…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w. V 4i +j 3i - 2j + 4k 4i + 4k…

A: The solution is :

Q: Diego is building an architectural rendering of a house. For a portion of the roof Diego cuts and…

Q: Example: Finding the Volume of a Parallelepiped Find the volume of the box (parallelepiped)…

A: We have to find

Q: Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two…

A: The given quadrilateral ABCD is a combination of two triangles ABD and ADC.Therefore,Area of the…

Q: · The cube ABCDEFGH is given. The volume of the given cube is V. Find the volume of the intersection…

A: Given that volume of cube ABCDEFGH is "V" General volume of a cube whose side is "x" units is given…

Q: Prism J and prism K have the same volume. 4 W 3. 3/7 10 10 K What is the width w of prism K? Your…

A: 2-Given- To Find- The value of w of the prism K , if the volume of prism J and K are same.

Q: Compute the volume of a tetrahedron. (a) Illustrate the tetrahedron that has vertices at (0,0,0),…

A: Tetrahedron can also be seen as triangular pyramid, so the volume of tetrahedron is equal to the…

Q: The cube ABCDEFGH is given. The volume of the given cube is V. Find the volume of the intersection…

A: A cube is a 3D figure which has 6 faces of squares, 8 vertices, and 12 edges. A tetrahedron is a 3D…

Q: The diagonal of a cube is 2/3m. What is the volume of the cube? 16 m3 8 m3 OA. OB. 64 m 86 m 3 O C.…

Q: A propane tank is the shape of a cylinder witha hemisphere at each end. If the radius of the tank is…

A: Overall length of the tank is 34 inchesradius=6 inchesfind the volume of the tank

Q: v 4 v 5 v 6 v 2 3. Find the volume of the rectangular prism. Write your answer in simplest form. 7.…

A: The formula for volume of rectangular prism is given below: where, V is the volume, w is the width,…

Q: Sports Drink 8 Pack Box Dimensions Height 12 in. Width 5.5 in. Depth 8 in. OOO Each bottle in this…

A: We need to use the dimensions of a bottle and the dimensions of the box to determine the space that…

Q: 2 Determine (a) the volume and (b) the surface area of the three-dimensional figure. Use the «…

Q: Directions: Express the volume of the solid, given that the volume is equal to the length times…

A: The figure of the solid is given by To evaluate : The volume of the solid.

Q: 10. The formula V =Bh can be used to find the volume of a cone. Solve the formula for h. V a. h = 3B…

A: Volume of a cone: V = 13Bh Four options are given. We need to select which one represents h.

Q: the number of hours worked and an employee's wages 25. Find the three factors for possible…

Q: Quadrilateral ABCD undergoes a dilation centered at A. The perimeter of AB'C'D' is 45. Determine the…

Q: H bcm Ar 2cm E G F 8cm Ba 10cm 9cm In the figure above, ABCD is a rectangle and HFGD is a trapezium.…

A: From the given figure: As we know that, The area of the rectangle is: A=length×width And The area…

Q: A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal…

A: A storage shed is in the shape of a pentagonal prism. The front represents one of its two Pentagonal…

Q: 7. A variable equilateral triangle whose plane is perpendicular to the x-axis has its two vertices…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u 3i + 2] 21- 2j + 3k 3i + 4k…

Q: 22. CHALLENGE If rectangle ABCD has coordinates A(0, 0), B(0, 4), C(4, 3), D(0, 3), find the…

A: Given- Rectangle ABCD has coordinates A(0,0) , B(0,4) , C(4,3) , D(0,3). To find - The coordinates…

Q: Find the lateral and total surface area of the prism. 12 yd 28 yd 13 yd 5 yd The lateral area of the…

A: Consider the right-triangle prism with sides a=5,c=13. Using Pythagoras theorem,…

Q: 3 A sphere has the volume of 4,189 cm. What is the approximate radius of the sphere? A. 6 cm C. 7 cm…

A: Given: Volume of the sphere (V)= 4189 cm3 we know that, Volume of the…

Q: 9. The formula of a cone is given by the formula V ==ar'h. 3. (a) (i) Calculate the volume of the…

Q: A jewelry company is packaging earrings to be shipped. The earrings are placed inside a cube-shaped…

Q: Find the ratios of products A, B, and Cusing a closed model. ABC A 321 261 5 28 The ratio A:B:Cis :D

A: Let the given proportions be a, b and c. The input-output matrix will be as follow:

Q: B. 06 75 C. 09 27 A Find the volume of the box using the Pythagorean theorem. 3. 5. 5.

Q: An ice cream cone is filled with ice cream, the ice cream form a hemisphere on top of the cone. If…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u v w 3i +j 4i - 2j +k 2i +…

A: The given vectors are: u→=3i+jv→=4i-2j+kw→=2i+4k

Q: A diagonal of one cube is 2 cm. A diagonal of another cube is 4y3 cm. The larger cube has volume 64…

A: To find: The volume of smaller cube. Given: The diagonal of cube is 2 cm and the diagonal of another…

Q: Area of a quadrilateral ABCD is 20 cm2and perpendicular on BD from opposite vertices are 1 cm and…

Q: 18.2 cm 7.8 cm. 13 cm 13 cm 20 8 cm

A: We find the surface area of the triangular prism by calculating the areas of triangles and…

Q: 64. (R.4/1.1) For the figure shown, (a) use the Pythagorean theorem to find the length of the…

A: We have to find a) value of x which is stated in the figure with the help of Pythagorean theorem. b)…

Q: The diameter of a marble is 3 centimeters. Determine the name of the shape, formula, and volume for…

A: Name of shape : Sphere Formula : V = (4/3) πr³

Q: 5. What is the volume of the triangular prism below? 7 yd 18 yd 12 yd A 42 yd B 84 yd C 756 yd D…

A: We will use the formula for finding the volume of a triangular prism which states that volume is…

Q: Corners are sliced off a unit cube so that the six faces each become regular octagons. What is the…

A: Let x and y be the length of each side of the regular octagons and the length of the removed slices,…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u V w 7i 7j 7k The volume of…

Question

Find the volume of the parallelepiped (box) determined by u, v, and w.
u
V
w
i+ 2j
2i - 2j + 3k
2i + k
The volume of the parallelepiped is
units cubed.
(Simplify your answer.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

For compactness, the drop-down legs of an ironing board fold up under the board. A sliding mechanism at point A and the legs being connected at common midpoint M cause the boards upper surface to be parallel to the floor. How are AB and CD related?
In Exercises 44 and 45, use the formula from Exercise 43. Similar triangles were used to find h and H. A container of yogurt has the shape of a frustum of a cone. With the lower base having diameter length 6 cm and the upper base having diameter length 8 cm, the volume of such a container 7.5 cm tall can be determined by using H=30 cm and h=22.5 cm. Find its volume. A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5 in. and 7in. is rotated about the 7in.leg. Use 227.
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?