H.W 6- Find the volume of the parallelepiped for which the given vectors are three edges. C= 2i +2j +2k C =i+j+5k B =-i +4j 1. A =i +j 2. A = 3i + j +k , B = i +4j +k , 841

Q: 4 4. Let S be the parallelepiped determined by the vectors p, = 0, P2 =5 and 3. 2 3 -3 0 P3 =0 and…

A: Solution of given problem is as below:

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the…

A:

Q: Please help me number 6. Thanks!

A: We are given that the unit vectors x, y, z satisfies the equationTo find the relation between the…

Q: 11. Find the volume of the parallelepiped determined by the vectors u = 2i + 3j - k, i + j - 2k ,…

A:

Q: Let u = i−5k, v = 2i−4j + k,and w = 3i−2j + 5k. (a) u · (v × w) = ______. (b) The volume of the…

A: Given :           u = i - 5k , v = 2i - 4j + k, w = 3i - 2j + 5k

Q: Let T be the tetrahedron with vertices (2, 0, 0), (0, 3, 0), (0, 0, 5) and the origin. Write (a, y,…

A:

Q: Which of the following is the volume of the parallelepiped determined by the vectors u=i+j-k,…

A:

Q: Find the volume of the parallelepiped whose adjacent axes PQ, PR and PS where P (1,-2, 2), Q (1, -1,…

A:

Q: . Find the volume of the parallelepiped determined by the vectors a = i + j, b = j + k, and c=i+j+k…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: B) Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k,…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Chapter 11, Section 11.4, Question 029a Consider the parallelepiped with adjacent edges u = 5i +…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the…

A:

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k +…

A:

Q: Consider the parallelepiped with adjacent edges u = 9i + 8j + k v = i+j+ 9k w = i+ 6j + 5k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Consider the parallelepiped with adjacent edges u = 8i + 9j + k v = i+j+ 8k w = i+ 3j + 4k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 4k w = i+ 9j + 8k Find the…

A:

Q: 14. Find the volume of the parallelepiped having i + 3j + 2k, 2i + j- k and i- 2j + k be the edges.…

A: The edges of the parallelopiped is given to be a=i+3j+2k, b=2i+j-k, c=i-2j+k. To find the volume.…

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ), V(PR), and V(PS) are…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 日-1- Find the volume of the parallelepiped determined by w = |0,v = 1, and u =|1

A: The Volume of parallelepiped formed between three vectors A→,B→ and  C→ is given by the scalar…

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the…

A: Volume of the parallelepiped is 238 cubic units.

Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

A:

Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P…

A:

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k +…

A: Let's find.

Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the…

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 8k w = i+ 2j + 8k Find the…

A:

Q: Consider the planes below: ⊼1(pie): x+2y–1z=0 ⊼2: –x+2y–3z–4=0 ⊼3: x+6y–5z–4=0 a) Without…

A:

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: 29. Find the volume of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are,…

A:

Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

A:

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2,3, 2)…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 8j + k v = i+j+ 9k w = i+ 3j + 5k Find the…

A:

Q: Which of the following is the volume of the parallelepiped determined by the vectors u=i+j-k,…

A:

Q: Let D be the triangular region in the ry-plane with vertices (0,0), (, 0), and (1, 1). Let M be the…

A: Consider the given triangular region D in the xy-plane. The vertices are 0,0,1,0,1,1. Now, draw the…

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k +…

A: To answer the given questions using the given details.

Q: Consider the parallelepiped with adjacent edges u = 6i + 5j + k v = i+j+ 6k w =i+ 3j+ 6k Find the…

A: Given the adjacent edges of the parallelopiped are u = 6i + 5j + k v = i + j + 6k w = i + 3j + 6k

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the…

A:

Q: Find the volume of the parallelepiped with adjecent edges PQ, PR and PS; P(-2,1,0), Q(2, 3, 2), R(1,…

A: Volume of the parallelepiped:                     The volume of the parallelepiped  is equal to the…

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

A:

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ),v(PR), and v(PS) respectively 31…

A:

Q: Which of the following is the volume of the parallelepiped determined by the vectors u=i+j-k,…

A: The given vectors are u = i + j - k v = i - j + k w= - i + j + k To find volume of parallelpiped

Q: Consider the tetrahedron spanned by vectors a, b, and c as in Figure25(A). Let A, B, C be the faces…

A: Given:  VF=2×Area of FClaim: To prove :  VA + VB +VC…

Q: 1 7 Let a, 4 21 and b = 6. 1 2

A: here we can use matrix method to write the equation of plane and then we use the condition that b…

Q: 10. Find the volume of the box generated by the vectors i, j+ k, and i+ 2j + k.

A:

Q: Consider the parallelepiped with adjacent edges u = 3i + 8j + k v = i+j+ 3k w = i+ 9j + 4k Find the…

A: u=3i+8j+kv=i+j+3kw=i+9j+4kVolume = (u×v).wu×v=ijk381113u×v= i(8(3)-1)-j(3(3)-1)+k(3-8)u×v=23i-8j-5k

Q: Pr. #1) || zdA, Dis the triangular region with vertices (0,0), (4, 2), and (0,6) (aketch D on the…

A:

Q: In Rn with inner product{x, y} = xTyderive a formula for the distance between two vectorsx = (x1, .…

A: Take two vectors x and y in an inner product space x=x1,…,xn and y=y1,…,yn then x,y=xTy

Q: 3. If D is the centroid of APQR, PA = 17, BD = 9. and DQ = 14, find each missing measure. %3D P a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the…

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Consider the parallelepiped with adjacent edges u = 8i + 5j + k v = i+j+3k w = i + 8j + 4k Find the…

A: Topic = Vectors