The volume of the parallelepiped determined by the vectors à =< 3,4,5 >,b=< 2,1,-1 > and =< 3,2,1 > is: %3D (A) 12 (B) 6 (C) 24 (D) 30 (E) 4

Q: What is a parallelepiped? What is meant by the parallelepiped determined by the vectors u, v, and w?…

A: A prism, made of parallelograms; a polyhedron with six faces, each of which is a parallelogram.  The…

Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: 2. Find the volume of the parallelepiped formed by vectors d (-1, 2, 1), 6 = (3, –2, – 1) and T =…

A:

Q: Find the volume of the parallelepiped with corresponding vectors 〈2,1,0〉,〈-1,2,2〉and〈0,-2,1〉

A: Let's find.

Q: Determine the volume of the parallelepiped whose sides are represented by the following vectors: Á =…

A: We need to find the volume of the parallelepiped . The formula for the volume of a  parallelepiped…

Q: What are the components of vector p which has three times the magnitude of the normal vector of the…

A: Given plane: Let the normal vector be n. So,

Q: Find the volume of the parallelepiped with sides give by the three vectors a = 2i – 2j+ 3k, b = 5i+…

A: a→ = 2i^ -2j^ +3k^b→ = 5i^ +2j^ +6k^c→ =-3i^ +2j^ -2k^Volume of parallellpiped = a.(bx c¯

Q: find the acute angle between the given linesby using vectors parallel to the lines. y = x, y = 2x +…

A: Here the acute angle between two lines is to be calculated.

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 4, – 1), b = (0, 4, 2), с 3…

A: Given the vectors, a→=3,4,-1b→=0,4,2c→=2,5,1

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: What is the resultant of vectors a and b? ( A ) GL B

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

A:

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors. a→=4,2,-1, b→=0,3,2,c→=2,3,1

Q: What is the area of the parallelogram formed by the vectors v = (1,0, 1) and w = (0, 2, 2) tail to…

A:

Q: Find the volume of the parallelepiped defined by the vectors 37 2 1 2 3.

A: Introduction: The volume of parallelepiped that defines by the vectors a, b, and c is given by,…

Q: B. Explain with sketch how can calculate the volume of parallelepiped by three vectors?

A:

Q: Find the area of the parallelogram that has the following vectors as adjacent sides. u = & v =

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c: a =, b =, c =.

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (2, 5, 3), Q = (– 3, –…

A:

Q: What is the definition of the triple scalar product for vectors u, v, and w in ℝ3?

A: To Define: Scalar Triple Product for vectors u, v and w in ℝ3.

Q: What is the area of the parallelogram determined by the vectors v = (1, 3, 6) and w = (-1,0, 3)?

A:

Q: Find the volume of the parallelepiped determined by the vectors a = (2; 1; 1), b = (3; 0; 1) and c =…

A: Given a→=(2;1;1)b→=(3;0;1)and c→=(1;1;2)we find volume oF parallele piped

Q: Find the volume of parallelopiped formed by the vectors , and

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 31 + 2j - 3k, b =…

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

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 2, 4   b = −1,…

A: First find cross product of b and c and take dot product with a

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: What can you say about the relative position of two nonzero vectors if their dot product is zero?

A: Dot product of two non-zero vectors is zero. We know that two vectors are perpendicular if and only…

Q: What is the magnitude of the cross product of two parallel vectors?

A:

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = (3, 2, −1), v = (1, 2,…

A: Now,

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c.  a = 1, 2, 2, b = −1,…

A:

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

A: Topic :- Vector

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: 'Two particles moving with constant velocity are described by the position vectors: P = Po + vt, s =…

A:

Q: Apply Gram- Sch maidt process to the vectors [ (7,

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (4, 2, -2), b = 3…

A: Given:- a = (4, 2,-2), b = (0, 2, 1), c = (4, -3, 4) To find :- Volume of Parallelepiped

Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: Find the volurne of the parallelepiped determined by the vectors a, b, and c. a = (6, 3, -2), b =…

A:

Q: A bird is flying south at a rate of 45 miles per hour while being pushed east by wind with a speed…

A: Given- Bird's flying rate in the south=45miles/hrBird pushed by wind in the east=12 miles/hrWe need…

Q: The volume of parallelepiped determined by the vectors u = 2i – k, v = 2j – 3k and .= w = i + j+k is…

A: We use the definition of the volume of a parallelopiped determined by the vectors a, b and c to find…

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (– 6, – 1, 3), Q = (- 1,…

A: The corresponding position vectors with respect to origin are,…

Q: Find the volume of the parallelepiped defined by the vectors: a= (3, -1, 1), b= (4,0,2) and c=…

A: Given are the vectors  a= (3, -1, 1), b= (4,0,2) and c= (-1,-2,-3) The objective is to find the…

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

A:

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

A: Given vectorsu = i-j+k , v = i+kArea of parallelogram is equal to u x v

Q: Find the volume of the parallelepiped determined by the vectors a = (1, 2, 3), b = (3, 0, 6) and c =…

A:

Q: Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4,…

A:

Q: Find volume of the parallelepiped determined by the vectors a = (8, 1,0), E b = : (1,4, 1), and c =…

A: The given vectors are a=8,1,0, b=1,4,1 and c=1,1,10

Q: The surface of a hill can be given as h(x, y) = e-(z²+y²), If a ball is placed at the (2, y)…

A: