Consider the following vectors:
→a =
5
−1
3
3
→b =
5
0
1
0
→c =
−10
3
−3
−7
For each of the following vectors, determine whether it is in
span{→a, →b, →c}. If so, express it as a linear combination using
a, b, and c as the names of the vectors above.
→v1 =
5
−3
2
7
< Select an answer >
→v2 =
2
7
6
−7
< Select an answer >
→v3 =...
Given the vectors u1 = (2, −1, 3) and u2 = (1, 2, 2) find a
third vector u3 in R3 such that
(a) {u1, u2, u3} spans R3
(b) {u1, u2, u3} does not span R3
1) Determine the angle between vectors:
U = <2, -3, 4> and V= <-1, 3, -2>
2) determine the distance between line and point
P: -2x+3y-4z =2
L: 3x – 5y+z =1
3) Determine the distance between the line L and the point A
given by
L; (x-1)/2 = (y+2)/5 = (z-3)/4 and A (1, -1,1)
4) Find an equation of the line given by the points A, B and
C.
A (2, -1,0), B (-2,4,-1) and C ( 3,-4,1)...
consider the following state vectors
|psi subscript 1> =3|+> + 4|->
|psi subscript 2> = |+> + 2i |->
|psi subscript 3> = 3|+> - e exp ipi\3 |->
Now , normalize each state vector
then , For each state vector calculate the probability
that the spin components is up or down along each of the three
cartesian axes . Use bra-ket notation for the entire
calculation.
The diagram below shows two vectors, A and B, and their angles
relative to the coordinate axes as indicated.
DATA: α= 47.5o β= 60.8o |A| = 5.7 cm. The
vector A - B is parallel to the -x axis (points
due West). Calculate the y-component of vector
B.
find y-component of B
find x-component of (A-B)
find magnitude of A+B