### VECTOR

FIND THE HORIZONTAL AND VERTICLE COMPONENTS OF THE FOLLOWING FORCES:(237LBS, 48 DEGREES),(369LBS,248 DEGREES) ALSO FIND THE X AND Y COMPONENTS OF THE VECTOR (529m,342DEGREES)

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FIND THE HORIZONTAL AND VERTICLE COMPONENTS OF THE FOLLOWING FORCES:(237LBS, 48 DEGREES),(369LBS,248 DEGREES) ALSO FIND THE X AND Y COMPONENTS OF THE VECTOR (529m,342DEGREES)

A person walks 18m East and then 32m in a direction of 65 degrees N of E. What is the resultant displacement?

A force of 25 N acts perpendicular to another force of 22 N. If the forces act together on the same object, what is the resultant force?

What is the resultant force for the following forces? 250 N due north, 525 N due south and 238 N 38 degrees south of west.

Find the force on the docking cable of a boat on which the wind acts in a northerly direction with a force of 235 lbs and the tide acts in an easterly direction with a force of 323 lbs.

WHAT ARE THE X AND Y COMPONENTS OF A FORCE OF 185 N AT 132 DEGREES? WHAT ARE THE X AND Y COMPONENTS OF A VECTOR OF 432LBS, 24 DEGREES S OF E.

A block of wood weighing 35 lbs is resting on an inclined plane sloped at 36 degrees to the floor. What is the component of weight down the plane? What is the component of weight perpendicular to the plane?

A 850 LB PULL ACTS IN A DIRECTION 32 DEGREES S OF E. WHAT IS THE EASTWARD COMPONENT? WHAT IS THE SOUTHWARD COMPONENT?

I need to show that the following two terms are equivalent: l = m(r2I - rr)∙ω l = r x mv = r x m(ω x r) where r is the position vector from the origin to the particle l is the angular momentum I is the identity tensor ω is the vector angular velocity x indicates a cross product rr is a dya

Let a vector field F be given by F(x,y,z) = (x^3)i - (y^2)j + (2yz)k and a curve C be given by r(t) = 2ti + sintj - costk, 0 <= t <= (pi/2) 1. Evaluate the line integral F*dr. 2. Determine the arclength variable s from t. 3. Determine the unit tangent vector T(s). 4. Evaluate the total arclength L. 5. Write th

Let G be a graph in which every vertex has degree 2. Is G necessarily a cycle? *Please see attachment for additional information. Thanks. Use words to describe solution process. Use math symbol editor like LateX, please no stuff like <=.

For both 1 and 2, could you tell me whether or not there is a hyperplane that strictly separates the given sets A,B. If there is, find one. If there is not, prove so please. 1) A={(x,y):abs(x) + abs(y) <=1}, B={(1,1)} 2) A={(x,y):xy >= 4}, B={(x,y):x^2+y^2 <= 1} where abs = absolute value

1) Let u and v be vectors in R^n. a) Prove that llull = llvll if and only if u + v and u - v are orthogonal. b)Let (proj of u onto v) be the vector projection of u onto v. For u, v does not equal to 0, prove that (projection of u onto v - u) is orthogonal. 2) Find a basis for the space orthogonal to [1,1,0]^T in R^3.

1. Given the following 3 vectors, all of which lie in the horizontal plane, (see attachment for list of vectors), find: (a) 3A-B (b) 1) A?B 2) B?A (c) 1) A*B 2) B*A (d) (5A-6B+4C)?(B*C-A*B) *(Please see attachment for complete question and equations)

Let [a,b] be an interval in {see attachment}. Recall that the set of functions {see attachment} is a vector space over {see attachment} with addition (f+g)(x):=f(x)+g(x) and scalar multiplication a) choose [a,b]=[0,1]. Decide for each of the following subsets if it is a subspace. Justify your answer by giving a proof or a c

Which of the following are subspaces of the vector space ? Justify your answer. A vector space in R^3 such that every vector (a,b,c) has the property: a-b-c=2 A vector space in R^3 which has the form (a,b,a+b)

If U is a subspace of V then W=V-U (a vector x that belongs to W can not belong to U) W also is a subspace. (Proof or counterexample)

Let X: R^2  R^3 be the parameterized surface give by X(s,t) = (s^2 - t^2 , s + t, s^2 + 3t) A) Determine a normal vector to this surface at the point (3, 1, 1) = X(2, -1) b) Find an equation for the plane tangent to this surface at the point (3, 1, 1)

Could you please give me some sort of a sketch or drawing of what a set S (its interior and its closure) would look like when: S= {(x,y) : -1<= y < cosx, -2# < x <= 2#} Note: <= is less than or equal to < is less than # is pi (3.14....)

What would a vector v in R4 such that: V(1,2,1,0) T V(1,0,-1,1) T V(0,2,0,-1) = <v> AND find scalars a,b,c,d such that <(1,2,1,0),(1,0,-1,1),(0,2,0,-1)> = <v> Please note: <v1,...,vk> denotes the vector subspace of Rn generated by the vectors v1,...,vk and that for scalars a1,...,an belonging to R, V(a1,...,an) =

Please see the attached file for the fully formatted problems. Find Edges & Vertices of Kn and Km,n.

The diagram attached shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3). a) Find vector projections of AG onto the following vectors: AB, [0,1,0], [-1,0,0] and [0,0,1]. b) Find the point on AC that is closest to the midpoint of GH (The diagram is on page 21 and it is problem 6) (As you can see

Sketch hyperbola after finding Center, Vertex and Foci of this equation: (y+5)squared/16 - xsquared/9 =1 Please show steps needed

Sketch parabola first finding the vertex, foci and directrix for this equation y+3=1/8(x-5)squared meaning the (x-5) part of equation is squared.

The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2). In which direction will the ant begin to walk? Give a unit vector in that direction.

( ∫ ^n_r means that n is on the top of the ∫ and r is on the bottom) Evaluate the given integral by first converting to polar coordinates: ∫ ^2_1 ∫ ^(square root of 2x - x^2)_0 (1/(square root of x^2 + y^2)) dy dx ∫: is the integral symbol

The set of vectors {[ 1 -1] , [ 1 -1] , [ 2 -1] } [ 2 0 ] [ -1 0] [ -1 0] from M_2(R) is: A. linearly dependent B. linearly independent C. orthogonal D. a spanning set for M_2(R) E. a basis for M_2(R)

Please see attachment. Require problems solving, also explanations etc for better understanding of vectors. VECTOR PROBLEMS (1) Let l be the line with equation v = a + t u. Show that the shortest distance from the origin to l can be written | a × u |

Given vector v with /v/ = 4 and direction angle of 45 degrees, write v in the form <a,b> a= 4cos 45 degrees= 4*.707=2.83 b= 4sin 45 degrees= 4*.707=2.83 vector v (a,b) becomes v(2.83, 2.83) compute (2*w).(u-v) where w = <-1, 0> 2(2<100)(5<60-4<45) 2*2<180*1.536<102.5 =6.144<282.5 or 6.144<-77.5degrees vector from equat