Question

Let u=[6,2 ], v=[3,3 ], and b=[4,1 ]. Find
(x⋅u+y⋅v-b)×_{2} u, where x,y are scalars.

Answer #1

Let u = <-2, 2> and v = <3,3>. Compute: a)
projv u b) Write u = w1 +
w2, where w1 is parallel to v and
w2 is orthogonal to v.

Let u = (1,−3,3,9) and v = (2,1,0,−2). Find scalars a and b so
that au + bv = (−3,−5,3,10)

Let u = ⟨1,3⟩ and v = ⟨4,1⟩.
(a) Find an exact expression and a numerical approximation for
the angle between u and v. (b) Find both the projection of u onto v
and the vector component of u orthogonal to v.
(c) Sketch u, v, and the two vectors you found in part
(b).

let x=u+v. y=v find dS, the a vector, and ds^2 for the u,v
coordinate system and show that it is not an orthogonal system

Find numbers x and y so that w-x⋅u-y⋅v is perpendicular to both
u and v, where w=[-28,-25,39], u=[1,-4,2], and v=[7,3,2].

Let the linear transformation T: V--->W be such that T (u) =
u2 If a, b are Real. Find T (au + bv) ,
if u = (x, y) v = (z, w) and uv = (xz-yw, xw + yz)
Let the linear transformation T: V---> W be such that T (u)
= T (x, y) = (xy, 0) where u = (x, y), with 2, -3. Then, if u = (
1.0) and v = (0.1). Find the value...

Find numbers x and y so that w⃗ −x⋅u⃗ −y⋅v⃗ w→−x⋅u→−y⋅v→ is
perpendicular to both u⃗ and v⃗, where w⃗ =[9,132,42], u⃗ =[6,1,1],
and v⃗ =[3,3,−21](notice that u⃗ is perpendicular to v⃗)

1. Let u(x) and v(x) be functions such that
u(1)=2,u′(1)=3,v(1)=6,v′(1)=−1
If f(x)=u(x)v(x), what is f′(1). Explain how you arrive at your
answer.
2. If f(x) is a function such that f(5)=9 and f′(5)=−4, what is the
equation of the tangent line to the graph of y=f(x) at the point
x=5? Explain how you arrive at your answer.
3. Find the equation of the tangent line to the function
g(x)=xx−2 at the point (3,3). Explain how you arrive at your
answer....

1.1. Let R be the counterclockwise rotation by 90 degrees.
Vectors r1=[3,3] and r2=[−2,3] are not perpendicular. The inverse U
of the matrix M=[r1,r2] has columns perpendicular to r2 and r1, so
it must be of the form U=[x⋅R(r2),y⋅R(r1)]^T for some scalars x and
y. Find y^−1.
1.2. Vectors r1=[1,1] and r2=[−5,5] are perpendicular. The
inverse U of the matrix M=[r1,r2] has columns perpendicular to r2
and r1, so it must be of the form U=[x⋅r1,y⋅r2]^T for some scalars
x...

Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u;
v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the
following pieces of information do you not need?
I. f(1, 2, 3) = 5
II. f(7, 8, 9) = 6
III. x(1, 2, 3) = 7
IV. y(1, 2, 3) = 8
V. z(1, 2, 3) = 9
VI. fx(1, 2, 3)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago