A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? −...
A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? − ? − 3?
CB = 4? − 5? + 3?
AC = 3? + 5? - 2?
Question 7: Express the vector AC as the sum of two vectors: AC
= ? + ?, where ? is parallel to the vector CB and ? is
perpendicular to CB. Given that AC ∙ CB = −26 and that CB = √50,
determine the y-component of...
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the...
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the digits of your ID to be the elements
of set A. For example if my ID is 21743911, then set A would be
{2,1,7,4,3,9}.
Write the bit string that represents set A above.
Let set B = {2, 3, 5, 6, 7, 10}. Write the bit string that
represents this set B.
What is the bit string for the difference of A and B?...
Let A = {0, 3, 6, 9, 12}, B = {−2, 0, 2, 4, 6, 8,...
Let A = {0, 3, 6, 9, 12}, B = {−2, 0, 2, 4, 6, 8, 10, 12}, and C
= {4, 5, 6, 7, 8, 9, 10}.
Determine the following sets:
i. (A ∩ B) − C
ii. (A − B) ⋃ (B − C)
Consider the following.
u =
−6, −4, −7
, v =
3, 5, 2
(a) Find the...
Consider the following.
u =
−6, −4, −7
, v =
3, 5, 2
(a) Find the projection of u onto
v.
(b) Find the vector component of u orthogonal to
v.
1.
a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}.
b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find...
1.
a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}.
b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find the real
numbers a,b.
c) Let p(z)=z^4−z^3−2z^2+a+6z, where a is real. Given that 1+i
is a zero of p(z):
Find value of a, and a real quadratic factor of p(z). Express
p(z)as a product of two real quadratic factors to find all four
zeros of p(z).
Let A be a 2x2 matrix
6 -3
-4 2
first, find all vectors V so...
Let A be a 2x2 matrix
6 -3
-4 2
first, find all vectors V so the distance between AV and the
unit basis vector e_1 is minimized, call this set of all vectors
L.
Second, find the unique vector V0 in L such that V0 is
orthogonal to the kernel of A.
Question: What is the x-coordinate of the vector V0 equal to.
?/?
(the answer is a fraction which the sum of numerator and
denominator is 71)
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.