Vz(x, y) V + y have the Show that all the vectors in vector field F same length, and state the length of the vectors.

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: = (4, 1, a), Q = (–2, 0, b) and v = i – 3j + 4k be two points and a vector in R³ respectively. (a)…

A:

Q: Q12: Let vector v = (1, 3) and vector w=(-4,-2). Write vector v as the sum of two orthogonal…

A:

Q: Find all the vectors of the family (2-jx, j4, 2-j5, jx) that are of hermitian length equal to 21.

A: Let Y=2-jx,j4,2-j5,jx Length =Y=4+x2+42+4+25+x2   Y=49+2x2 49+2x2=2149+2x2=2122x2=392x=±14

Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

A:

Q: Let m = (-3,1,5) and n = (5,-1,2). calculate the vector p = n - ((m*n)/(m*m))*m.

A: here we get p=0

Q: Suppose that u and v are vectors in 3-space such that u ||= 5 and u · v= 7. Find: (a) u · u = (b) v…

A:

Q: Find the next vector spacing and wrap A = 1(x + y?) +jv² + zx) + k(z? + xy)

A:

Q: Find a vector orthogonal to the line x+y=1

A:

Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

A:

Q: Find a vector function that represents the plane that passes through thepoint p0 with position…

A: The plane passes through the point p0 whose position vector is r0→. The plane also passes through…

Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: Let V1 = 2 V2 = 0 2 V3 = 2 V4 = 3 Decide the dependence or independence of the vectors {V₁, V2, V₁}…

A:

Q: -2 Show whether or not the vector bs is a linear combination of the vectors a, = az = and az = that…

A:

Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: Vektor m =[5, -2, 1] Vektor n =[-6,-2, 4] a. find vektor p where p = -2m+0.5n b. find vektor…

A: a) write p in terms of m and n with the given relation p =…

Q: The point A with position vector a = 4 -5 T Check (No answer given) The position vectors of the…

A:

Q: 1 Consider the line through the vector a = Find the project of b = (1,2,3) onto this line.

A:

Q: The velocity vector of a particle in the xy-plane is (√7, 9e³-3) for all real t. If the position of…

A: The velocity vector in the xy-plane is for all real t. If the position of theparticle at , then to…

Q: - 16] [1] Determine whether the vector v =| 17 |is spanned by the vectors and | 2 or not. 18

A:

Q: Show that the vector field A and B are everywhere perpendicular if A (2.-5,6) and B (6,5,-2)

A:

Q: Show that the vectors X1 = 2e2t and 2et X2 5e3t form a linearly independent set.

A:

Q: Calculate the curl of the vector = (2x + 3y)i + (y+z)j + (xy + 2zx)k

A: