Question

In: Math

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0),...

Find the volume of the parallelepiped with adjacent edges

PQ, PR,

and PS.

P(−2, 1, 0), Q(3, 3, 3), R(1, 4, −1), S(3, 6, 1)

cubic units

Solutions

Expert Solution


Related Solutions

1) Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P (...
1) Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P ( -2,-3,-3) , Q (0,0,0) , R (-3,-4,-4) and S ( 4,-5,-1) 2) Find the area of the parallelogram with vertices A (2,2) .B ( 7,3) C (4,7) and D (9,8)
Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 2),    Q(−1, 2,...
Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 2),    Q(−1, 2, 7),    R(4, 2, −1),    S(0, 5, 3) Cubic units If a = (2, −1, 5) and b = (4, 2, 1), find the following. a × b = b × a= If a = i − 5k and b = j + k, find a × b
Find the volume of the parallepiped with adjacent edges PQ, PR and PS with P(1,-2,2), Q(1,-1,3),...
Find the volume of the parallepiped with adjacent edges PQ, PR and PS with P(1,-2,2), Q(1,-1,3), R(1,1,0) and S(1,2,3).
(2) PQRS is a quadrilateral and M is the midpoint of PS. PQ = a, QR...
(2) PQRS is a quadrilateral and M is the midpoint of PS. PQ = a, QR = b and SQ = a – 2b. (a) Show that PS = 2b. Answer(a) [1] (b) Write down the mathematical name for the quadrilateral PQRM, giving reasons for your answer. Answer(b) .............................................................. because ............................................................... ............................................................................................................................................................. [2] __________ A tram leaves a station and accelerates for 2 minutes until it reaches a speed of 12 metres per second. It continues at this speed for...
Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0...
Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0 3 0 / 0 0 3 ] and compute P ?1AP.
If the pth term of an arithmetic progression is 1/q and the qth term is 1/p , prove that the sum of the first pq terms must be 1/2 (pq+1).
If the pth term of an arithmetic progression is \( \frac{1}{q} \) and the qth term is \( \frac{1}{p} \) , prove that the sum of the first pq terms must be \( \frac{1}{2}(pq+1) \).
Consider the hypothesis test below. H 0:  p 1 -  p 2  0   H a:  p 1 -  p 2 >...
Consider the hypothesis test below. H 0:  p 1 -  p 2  0   H a:  p 1 -  p 2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 100 n2 = 300 p1 = 0.24 p2 = 0.13 Use pooled estimator of p. What is the value of the test statistic (to 2 decimals)?   What is the  p-value (to 4 decimals)?   With   = .05, what is your hypothesis testing conclusion?
If Y is distributed N(1,4), find Pr(Y>0).
If Y is distributed N(1,4), find Pr(Y>0).
Let A = 0 2 0 1 0 2 0 1 0 . (a) Find the...
Let A = 0 2 0 1 0 2 0 1 0 . (a) Find the eigenvalues of A and bases of the corresponding eigenspaces. (b) Which of the eigenspaces is a line through the origin? Write down two vectors parallel to this line. (c) Find a plane W ⊂ R 3 such that for any w ∈ W one has Aw ∈ W , or explain why such a plain does not exist. (d) Write down explicitly a diagonalizing...
Let A = 0 2 0 1 0 2 0 1 0 . (a) Find the...
Let A = 0 2 0 1 0 2 0 1 0 . (a) Find the eigenvalues of A and bases of the corresponding eigenspaces. (b) Which of the eigenspaces is a line through the origin? Write down two vectors parallel to this line. (c) Find a plane W ⊂ R 3 such that for any w ∈ W one has Aw ∈ W , or explain why such a plain does not exist. (d) Write down explicitly a diagonalizing...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT