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: 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: 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)…

A:

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…

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.