Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is u· (v x w) to determine the volume of the tetrahedron with vertices P(-6,3,0), Q(2, 1, –3), R(1,0,1) and S(3, –2, 3). NOTE: Enter the exact answer. V =

Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is u· (v x w) to determine the volume of the tetrahedron with vertices P(-6,3,0), Q(2, 1, –3), R(1,0,1) and S(3, –2, 3). NOTE: Enter the exact answer. V =

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter79: Computing Compound Angles On Cutting And Forming Tools

Section: Chapter Questions

Problem 4A

See similar textbooks

Related questions

Q: d) Determine whether ) (an + bn) is convergent or divergent. n=1

Q: v² dx + x(xt y) dx = 0 LINE 1 let x= v2, dx = yda+ zdy y2 (ydz + zdv) + xz(vz +Y)dy= 0 vz (vdz t zdv...

Q: The enormous state university history department offers three courses-ancient,medieval, and modern h...

A: Given The enormous state university history department offers three courses-ancient, medieval, and m...

Q: Solve simultaneously y(t) = 1 – al(t) 2 (t) = 2y (t) æ(t) = -yr(t) where x (0) = 2, a' (0) = -1, y (...

A: Given that yt=1-x''tz't=2ytxt=-y't We have to find only yt

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values o...

Q: (D2 -3D+2) y = e sin (e") - 2

Q: 15. S 4cot 5x csc²5x dx

A: We have to evaluate the integral ∫4cot5xcosec25xdx.

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-1, y=2-t, z=31.

Q: You and your classmates want to earn extra income this summer. To do this, you will sell Summer Fun ...

Q: A loan payment of $1700 was due 60 days ago and another payment of $1200 is due 45 days from now. Wh...

A: Solution:-

Q: Francine goes to the grocery store and spends $31.79. She pays the cashier with a fifty dollar bill....

Q: 2. (a) Use the definition of the derivative and the Binomial Theorem to = nx"-1 for any x" is f'(x) ...

A: Since you have asked multiple question, we can solve first question for you. If you want other quest...

Q: The equation of motion of a mass is given as: y = (0.51)e 0.-(0.01)e0.2, where y is the displacement...

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the r...

Q: der: f(x) (C1 sin x – C2 COS X) = C1 = 9C2 and if f(3.25) J0024, find Cịand C2. Start the first iter...

Q: QUESTION 2 1 2 3 4 5 6 7 8 1 2 3 4 5 678 = 3 8 4 1 6 7 25 %3D T = 6 4 1 2 7 853 1. Write each of the...

Q: Create a euler diagram to verify if the arguments are valid or invalid p: Some NBA players have a h...

Q: Solve the following system using RREF method. 3x, + 6x2 – 9x3 %3D 2x1 + 4x2 6x3 = 10 - -2x1 – 3x2 + ...

Q: b) Consider the Linear System, find the value of x1, x2 and x3 using Inverse of a matrix b) I1 + 12 ...

Q: 4. Define the followings: i) Forward and backward difference operator ii) ...

Q: Which of the following shows finding the area of an area outside the curve - 3 S1n (2@) 36 sin (2@) ...

Q: 3.) Calculate the curve integral P (1 – a² + y²) dx + (1 +x² – y³) dy. C Here C consists of the curv...

Q: How many anagrams are thereof the word “possesses” that start with the letter “a”? Please answer th...

Q: 23. Find the product. (-3x - 7)(5x + 8) 24. What's the equation of a horizontal line through the poi...

A: Q22,24,25 asked and answered.

Q: 1. Pia deposits PhP 10,000 into an account at the beginning of each 4-year period for 40 years. The ...

Q: Find Re(2) if z(4 +) -z+ (80 + 96)

A: In the given question we have to find Re(z) if ...

Q: 2. One ladder is leaning against a wall so that its base is 4 ft from the wall and reached a height ...

Q: Find the value of a. (e -3t° = a It Vs +3

Q: Find the triple integral of the function F(x, y, z) = z over the region in the figure. Assume that a...

A: Our first task to determine the equation of the plane lying above xy-plane and standing on x-axis.

Q: 1. Given: f(x) = Find: a. (f + g)(x) х-2 %3D and g(x) = %3D X+2 b. (f – g)(x) c. (f g)(x) d. (4) (x)...

Q: Let u = (-3,4) and v = (2,–5). Find (a) the component form of the vector 3u – 4v and (b) its magnitu...

Q: 1. Determine the positive root of f (x) = x³ + 2x – 2 = 0 using the Newton- Raphson method and an in...

A: Here f(x) = x3 + 2x - 2 ∴ f′(x) = 3x2 + 2x0 = 0

Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 1 sint (a — аcost) (s2 + ...

Q: Find the open intervals on which the function f(x) = ax? + bx +c, a+0, is increasing and decreasing....

A: It is given that, fx = ax2 + bx +c ; where a ≠ 0. Now, differentia...

Q: Q5. Find the Laplace Transform of the functions x(t) and yit), which satisfy the Coupled first diffe...

Q: Let A E R"X". Use the SVD of A to write down an explicit eigendecomposition of AT H =

A: Given A∈ℝn×n. The given matrix is H=OATAO. Let A=UΣVT be singular value decomposition of matrix A. L...

Q: Identify four (4) lines of error on the solution of the given differential equaiton. the absence of ...

Q: Let f be a C1 function on [-7, 7]. Prove that the Fourier coefficients of f satisfy | an |< K | bn |...

Q: Solve y" (t) +4y (t) = sin (t) – sin (t – 2x)H (t – 2n) ; y (0) = y' (0) = 0

A: Given DE is y''(t)+4y(t)=sin(t)-sin(t-2π)H(t-2π).....(1) y(0)=y'(0)=0.....(2)

Q: Quèstion 4 7" The sequence is 3n+1x5 Jnz1 n21 a. geometric b. diverges c. Bounded O d. arithmetic

Q: 4) Consider the two sets T= {n| positive integer} S= {k|k=4j – 4, where j is a positive integer}. n ...

Q: 1 then (an) converges to 0. An+1 Exercise 8. Prove that if (xn) is a sequence such that lim n→∞ An A...

Q: Find a point-normal equation for the plane that is represented by the vector equation (x, y, z) = (-...

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupled first diffe...

Q: Exercise 6. Let (xn) be a sequence with x1 1 and xn+1 V6 + xn for n > 1. Prove xn 3.

Q: Recall from question 2 of the last assignment the subgroup 1 ab S = 0 1 1 c: a, b, Ce Zs SL3(Zs). 0 ...

A: As per the instruction, we will be solving the first question. Here, we have S=1ab01c001: a, b, c∈ℤ3...

Q: 2s +3 Deter mine the inverse Laplace transform. of

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral 00 L{f(t...

A: Given function is f(t) = -1,0≤t≤11,t≥1

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: The volume of the solid generated by the enclosure of regions fx and gx from y=a to y=b is given as ...

Q: 3) Find a basis for the subspace of R³ that consists of the intersection of the planes X- 3Y = 5Z an...

Q: Find the general solution of y'' + 19y' + 84y = 336x? Put your answer in the form y = C1a" e"1" + C2...

Question

Use the fact that the volume of a tetrahedron with adjacent edges given
by the vectors u, v and w is u· (v x w)| to determine the volume of
the tetrahedron with vertices P(-6,3,0), Q(2, 1, –3), R(1,0,1) and
S(3, –2, 3).
NOTE: Enter the exact answer.
V =

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Use the boxing method as suggested in Exercise 33, to find the area RST, with R-2,4,S-1,-2,andT6,5. Exercises 33, 34

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,