For this entire problem, v = (-5,3,–1). (a) Calculate |v|. (b) Find a vector that points in exactly the same direction as v but is twice as long. Show your answer is (at least partly) correct one by computing its length. ye (c) Find a vector that points in exactly the same direction as v but is half as long. (d) Find a vector that points in exactly the same direction as v but that has a length equal to 1. ler "u

Q: Explain how the direction vectors of two lines in ℝ3 can be used to determine whether the two lines…

A:

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

A:

Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

A:

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

A:

Q: iven the vectors a = (3,2,-1) and b = (1, -2,3), find the equation of the line joining a nd b. Show…

A: This is a problem of 3D geometry and calculus.

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: The vectors p and q span R2 For which values of k will (k2 + 2k - 3)p + (k2 +k - 6)q = 0 Explain…

A:

Q: = [21] and v₂ = [-]₁ (a) Give an example of three vectors that are linear combinations of v₁ and v2.…

A:

Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: What is the direction of u= (2,–3,–6).

A: Direction of a given Vector.

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…