Find the volume of the parallelepiped defined by the vectors 3 -3 -5 2 -3 Volume: %3D

Q: The volume of the parallelepiped determined by the vectors a =,b = and c = is: (A) 12 (B) 6 (C) 24…

A: The given vectors are a→=3,4,5, b→=2,1,-1 and c→=3,2,1

Q: Prove the stated property of distance between vectors. d(u, v) = d(v, u) for all vectors u and v

A:

Q: The volume of the parallelepiped determined by the vectors à =,b = and c= is: (A) 12 (B) 6 (C) 24…

A:

Q: Prove the stated property of distance between vectors.d(u, v) = d(v, u) for all vectors u and v

A: Given the stated property d(u, v) = d(v, u). We need to prove the above stated property.

Q: #1. The area of the parallelogram spanned by the vectors v = (A) – 22 (B) 22 (C) 23 (D) 8 (E) 2 (5,…

A:

Q: Find the volume of the parallelogram in which the vectors (S, T, R) are adjacent sides whose values…

A: Given: The volume of the parallelogram of the vectors (S, T, R) that are adjacent sides can be…

Q: If the volume of the parallelepiped determined by the vectors ä, 5, č e R³ is A cubic units, which…

A: Consider the provided question, a→∧3b→∧b→∧c→Let a→∧3b→=u→a→∧3b→∧b→∧c→=u→∧b→∧c→…

Q: Prove the stated property of distance between vectors. d(u, w) <= d(u, v) + d(v, w) for all…

A: We have to prove the property of distance between vectors as,

Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

A:

Q: Find the value of z of vector A= 3i +3j+ zk if ß = 59.04° and y = 46.686° %3D

A:

Q: Use the dot product to find the angle between the vectors v =i – 2j + k and w = i+j-2k. For which…

A: First we have to find the angle between the vectors v and w where v=i-2j+k and w=i+j-2k. For this,…

Q: Given the points P (1, 2, 2), Q (2, -1, 4), R (3, 5, -2) and S(0,-1,3). (a) Use vectors to calculate…

A:

Q: The volume of the parallelepiped determined by the vectors a =,b = and = is: (A) 12 (B) (C) 24 (D)…

A: Volume of parallelopiped

Q: Determine whether the following planes have at least one common point of inteTSoction. Why or why…

A: A system of equations does not have a solution, if the determinant of the coefficient matrix is…

Q: Consider the regular octagon centered at the origin as shown at right. Eight unit vectors are drawn…

A: By definition, the cross product of two vectors is a vector in the direction perpendicular to the…

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

A:

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

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

A: a=  i + j+ 0k b= 0i + j + k c= i + j + k  The required volume is [a b c]=110011111 =1111-0111…

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

A:

Q: find (a) the area of the parallelogram determinedby vectors u and v and (b) the volume of the…

A: The vectors u, v, and w. u=i+j-k,v=2i+j+k,w=-i-2j+3k.

Q: Find the cross product of the unit vectors. jx i

A: Topic :- Vector

Q: The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a…

A:

Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

A:

Q: Find the area of the triangle with two sides given by the vectors a = i – j+ 4k, and b = 2i – 4j+1k

A:

Q: Question 10 Find the volume of the parallelepiped determined by the vectors a =i+4j-k, b= 5i+j-5k…

A:

Q: The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a –…

A:

Q: Given the vectors a=i + j + k,  b= i-j and c=i + 2j + k, determine the volume of tetrahedron

A: Given- Given the vectors a = i + j + k, b = i - j, and c = i + 2j + k.  To find- Determine the…

Q: Find the volume of the parallelepiped determined by the vectors a i+2j-k, b 3i+j-4k and e= -2j+5k. O…

A: The parallelepiped is formed by the vectors, a→= i + 2 j - kb→= 3 i + j - 4 kc→= -2 j + 5 k  volume…

Q: If r is equal to 300 mm, Find: 1.) Rectangular form of r in ft 2.) Unit vector of r

A:

Q: Given two vectors a = (−2, 1, 3) and b = (3, −1, 2), does c = (−18, 7, 1) lie on the plane…

A:

Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = j, v = j + k

A:

Q: Find the measures of the angles of the triangle whose vertices are A = * .(-1, 0), B = (2, 1), and C…

A:

Q: Prove the stated property of distance between vectors.d(u, w) < d(u, v) + d(v, w) for all vectors…

A: Basic logic and properties of vectors can be used to solve the question.

Q: The value of A for which the vectors 2i- 4j + Ak and 3i- 6j + k parallel are

A: Given the two vectors Let's say v1 and v2 v1= 2i-4j+lemdak v2= 3i-6j+k

Q: The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a - b)…

A:

Q: Show that the indicated diagonal ofthe parallelogram determined by vectors u and v bisects the…

A: The given parallelogram is   Here, we are given |u|=|v| So, u+v is the required diagonal

Q: Which option is equal to the DOT product uV of vectors 3 u = 1 4 -4 26 24 N N

A: The given vectors are: u=314 and v=22-4 Multiply the numbers component wise to find the dot product…

Q: G エ

A: Here is your answer starts.

Q: The volume of the parallelepiped determined by the vectors à =,b= and = is: %3D (A) 12 (B) 6 (C) 24…

A:

Q: Determine two unit vectors, vand wl, perpendicular to the plane passing through the z-axis and point…

A:

Q: The volume of the parallelepiped determined by the vectors a =,b= and c = is: %3D (A) 12 (B) 6 (C)…

A: This question is related to volume of parallelepiped, we will solve it by using the formula of…

Q: The unit vectors of Cartesian Ox,X,x3, cylindrical Opøx, and spherical Oroø coordinate systems are…

A: Given that x1⏞,x2⏞,x3⏞, ρ^,ϕ^,x3^ and r^,θ^,ϕ^ are unit vectors of Cartesian, cylindrical and…

Q: Given the vectors v =i+ 3j – 2k and w= 3i – 4j + k. Find the area of the parallelogram with sides…

A:

Q: The volume of the parallelepiped determined by the vectors ä =,b = and č = is: (A) 12 (B) 6 (C) 24…

A:

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 3 miles South 6 miles…

A: Solution is given as below:

Q: R) Find the area of a triangle formmed from the two - = c'+2j=k-- - 2i-jtuk. Vectors-a- 6 = 2i-j+4k,

A: Given: a=i^+2j^−k^b=2i^−j^+4k^