256 Answered Questions for the topic Vectors

05/10/15

A plane flying N40W at 480 km/h encounters a headwind blowing directly from the west at 110km/h. Determine the ground velocity of the plane.
Include a diagram in your solution.  I need help with this ASAP please! 
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05/10/15

3 forces act on an object. A force of 100N acts towards the North, a force of 240N acts toward east, and a force of 150N acts at S20E.
determine the magnitude and direction of the resultant force of these three forces.  Include a diagram in your solution.  I need help with this ASAP please! 
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05/10/15

A crate weighing 550N is resting on a ramp that is inclined at an angle of 12 degrees to the horizontal.
Resolve the weight of the crate into the two rectangular components keeping it at rest.  Include a vector diagram in your solution.  I need help with this ASAP please! 
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05/10/15

A sign has a mass of 20kg and is suspended by two ropes making angles of 30degrees & 55degrees with the horizontal ceiling.
determine the tension in each of the ropes.  Include a vector diagram in your solution.  I need help with this ASAP please! 
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05/10/15

Determine the horizontal and vertical components of a force with a magnitude of 33N, angle theta =27 degrees counterclockwise from the vertical.
Include a vector diagram in your solution.  I need help with this ASAP please!
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04/27/15

Suppose S_1={u_1,u_2} and S_2={v_1,v_2} are each independent sets of vectors in an n-dimensional vector space V.
Let us assume that every vector in S_2 is a linear combination of vectors in S_1.Question: Does that mean that S_1 and S_2 are bases for the same subspace of V?I know that the answer to this... more
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Vectors Math Physics Graphs

04/02/15

Object A and B have equal charges. If neutral object C touches A then B, what is the force b/w the newly charged objects A and B?
PLEASE HELP ME!!! i have a physics test tmro!!!
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Vectors Equilibrium

02/08/15

find the amount of force valid to keep the system in equilibrium
A rope is being pulled with a force of 366 N parallel to the horizontal surface toward the right, five men are pulling the same rope parallel to the horizontal surface but toward left, what amount... more
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11/25/14

Describe all solutions of Ax=0
Let A= [1 -4  5  4              2 -8 10 8] Describe all solutions of Ax=0.   
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11/16/14

Describe all solutions of Ax=0
Let A= [1 -4 5  4            2 -8 10 8]   Describe all solutions of Ax=0 x=x2 ?+x3 ? +x4?  
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11/16/14

Find a set of vectors
Find a set of vectors {u,v} in R4 that spans the solution set of the equations  x-y+z-3w=0 x+2y-z+3w=0   u=? v=?
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Vectors Algebra Linear Plane

11/15/14

For what value of h is y in the plane spanned by v1 and v2?
Let v1= [1,2,-1], v2=[-2,-1,1], and y=[4,-1,h].  For what value of h is y in the plane spanned by v1 and v2?
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11/15/14

Which of the following sets of vectors are linearly independent?
A) [8,1,-6], [-1,-5,-4]B) [9,3,0], [-7,5,0], [-8,6,0]C) [-1,-7],[9,-1]D) [2,4,7],[-9,-2,-3],[7,-2,-4]E) [7,-9], [-2,-3], [-4,-6]F) [-4,-6], [4,6]
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Vectors Independent

11/15/14

Find a linearly independent set of vectors
Find a linearly independent set of vectors that spans that same subspace of R3 as that spanned by the vectors  [3,2,3],[9,8,3],[3,3,0].    The linearly independent set is?
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Vectors Linear Relation

11/13/14

Determine a non trivial linear relation
Let A=[0,3,0,5], B=[2,-3,-1,-1], C=[2,21,8,33], and D=[-2,6,4,4]   We know that they are linearly dependent   1) Determine a non-trivial linear relation (a non trivial linear relation is three... more
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Vectors Algebra Linear

11/12/14

Find two linearly independent vectors perpendicular to vector v
Find two linearly independent vectors perpendicular to the vector v=[-2,3,-5]
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Vectors Algebra Linear Plane

11/12/14

For what value of h is y in the plane?
let v1=[1,2,-1]  v2=[-2,-1,1] and y=[4,-1,h]   For what value of h is y in the plane spanned by v1 and v2? h=?
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Vectors Algebra Linear

11/12/14

Find vectors u and v
Let W be the set of all vectors of the form [2s-4t,-2s,-2s+t,3s-3t] Find vectors u and v such that W=span {u,v} u=? v=?
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Vectors Algebra Linear

11/12/14

Find a vector in R3
Let H be the set of all vectors of the form [-4s,-3s,5s]. Find a vector v in R3 such that H=Span{v} v=?
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Vectors

11/12/14

There are given the base vectors k=(6,-1,7) and h(-1,-2,-3) Find the vector b(4,6,-1) related to the base vectors.
I did it like this : b=xk+yh, but then as a result there are 3 equations : 6x-y=4, -x-2y=6 and 7x-3y=-1 when I find x and y in different ways they show me a completely different answer, so I'm... more
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11/09/14

Find the value of E such that a 750-eV electron moving in the negative x direction is undeflected
A velocity selector consists of electric and magnetic fields described by the expression vectorE=Ek and vector B=Bj, with B=15.0 mT. Find the value of E such that a 750-eV electron moving in the... more
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10/31/14

Find the shortest distance from Point P
Find the shortest distance from the point P= (7, 6, 4 ) to a point on the line given by l: (x,y,z) = (-7t,7t,1t). The distance is=?
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Vectors Algebra Linear Sum

10/29/14

Among all the unit vectors find the one for which the sum is minimal
Among all the unit vectors u= <x,y,z> in R3, find the one for which the sum x + 2y + 5z is minimal.    u=<>?
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Vectors Algebra Linear

10/20/14

Find a and b
Find a and b such that    [18,24,13] = a [1,-2,1] + b [4,4,3].   a=? b=?
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10/20/14

Perform the following operations on the vectors
Perform the following operations on the vectors vec{u} =<4,-4,4>, vec{v}=<4,2,-4>, and vec{w} =<0,-2,-1>.(u)•vec(w)=(u•v)u=((w•w)u)•u=u•v+v•w=
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