If the volume of the parallelepiped determined by the vectors d, b, čeR' is a cubic units, which of the folklowing can be the vector (2anb)a (bn2)? A) (2,0,0) B) (0,-42,0) C) (W3,22.0) D) (1. 2,-A2) E) (A5,0, A6)

Q: Find the area of the parallelogram that has the given vectors u = i + j + k,      v = j + k as…

A: Given: Vectors are u→=i^+j^+k^ and v→=j^+k^. To Find: Area of the parallelogram and use a graphing…

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

A:

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

A:

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: 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: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

A:

Q: A ship is on a heading of 240° at 50km/h. Write this velocity as a Cartesian vector.

A:

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

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Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: Given A = (-4, 2), for which of the choices of B is the vector AB parallel to the line, x + 3y = 1?…

A: The given point A=-4, 2. We have to choose the point B such that the vector AB→ parallel to the line…

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

A:

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

Q: Find the volume of the parallelepiped determined by the following vectors. a) u = (3,2,8), v = (5,…

A: Find your answer below

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.