Example 2: Find the unit vector in the direction of v = (-1,3,4) and verify that this vector has length 1.

Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

Q: Why is HE vector twice of vector V?

A:

Q: Write N(A) as the span of a vector (r vectors). What is dimN(A)? Why?

A: Null space, N(A) is the set of all vectors x in R^4 here, which are solutions of the equation Ax=0,…

Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: Find a unit vector in the direction of u =

A: Here is the solution:

Q: find the angle between vector A = and vector B = then write A as a sum of a vector parallel to B…

A:

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Find a unit vector with the same direction as the vector u = (7, 4, −3)

A:

Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

A: The initial point of the vector is (-4, 1) and the magnitude of the vector is 7. Since it is a…

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: Under what condition for the real numbers a,b the vectors (b,-1)(2,a) are linearly related

A:

Q: Find the length of the vector x = [-2, 2, 6 ]

A:

Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.