Q: Percy wants to write an equation for the number of tiles needed to surround a square pool with sides…

A: We will answer the first question only as the second question is incomplete with some other…

Q: ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is equal and parallel to BC.

A: Given: ABCD is a quadrilateral where AB=DC and AB parallel to DC. Prove: AD=BC and AD parallel to…

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: Q1A)Find volume of parallelepiped which sides the vectors A = i +j+k B = 2i3j+k, and C = 3i-j- 4k.…

A:

Q: When two nonzero vectors w are called perpendicular or orthogonal?

A: Let two nonzero vectors are u and v Then the scalar product of the two vectors is given as,…

Q: The scalar triple product of three vectors gives the volume of the three-dimensional parallelepiped…

A: The Volume of the three - dimensional parallelepiped descrived by the vectors  is the scalar tripple…

Q: Use the scaler triple product to show that the vectors a = b= (2,-1,4> and c <0, -9, 18) are…

A: Let three vectors are as follows If these three vectors are coplaner then

Q: Vectors in R must have two or more values. A) True B) False

A: Ans: B) False

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: Use the definition of the cross product to prove that the cross product of two parallel vectors is…

A: The cross product of two parallel vectors is zero. This can be proved by two definitions of cross…

Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

A:

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

A:

Q: (B) Show that the area of triangle is - ÁxB (Using Vector method)

A: Let, a parallelogram be:

Q: Q/ find the area of triangle using vectors method

A: the area of triangle using vectors method

Q: Find the volume of the parallelepiped determined by the vectors a = 2i+3j−2k, b = i−j and c = 2i+3k

A:

Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A).C,…

A: Cross product of the vectors

Q: Find the next vector spacing and wrap A = 1(x +y) +j + zx) + k(2 +xy)

A:

Q: (a) Find the vector projection of a onto b , that is, find proj, a . (b) Find a vector in the…

A: We can solve the problem problem using concept of vector.

Q: Find the volume of the parallelepiped that the vectors u, v, and w generate.

A: We recall formula and then solve this problem.

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: Q2) Find the area of parallelogram and the unit vector perpendicular of: A = 2i + j – 2k B = i + 3j…

A:

Q: Consider a parallelogram ABCD in a 3-dimensional space, where the coordinates of its vertices are…

A:

Q: Write four forms of dot product for two vectors A and B by defining their metric tensor?

A: The dot product of two vectors, A and B in metric tensor form can be written as A→·B→=gμν aνbμ ,…

Q: 16.) P Cn, f); For exomple, how do you compute PCG, 3) example, compute C CG, 3) or C§)

A: Permutation is number of ways of selecting and arrangement of r items out of n items. Combination is…

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c