208 Answered Questions for the topic Vectors

#### Add these vectors or subtract them?

A jet plane set to be on a velocity and course of 840 knots, 44 degrees south of west encounters wind. The flight tower shows that their actual velocity and path is 840 knots, 49 degrees south...
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Vectors Precalculus

07/28/15

#### Vectors Magnitude and Direction

Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all...
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07/26/15

#### Two ships are 10 mi apart and traveling in the same direction at 29 knots with one ...

Two ships are 2 mi apart and traveling at 25 knots. The lead ship executes a turn 25° to port(left) at the same time that the trailing ship executes a 25° turn to starboard (right). How long does...
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Vectors Physics

05/21/15

#### Vector help, please!

I feel like the answer is right in front of me. I just keep arriving at the same solution which is apparently the wrong one. Could someone guide me to an easier way of approaching this problem that...
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Vectors Forces

05/16/15

#### Using a vector diagram, why is it easier to do chin ups when your hands are 30 cm apart instead of 90cm apart?

assume that the force exerted by your arms is the same in both cases

#### 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!

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!

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...
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#### 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!!!

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...
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#### Describe all solutions of Ax=0

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

#### 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?

#### 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=?

#### 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?

#### 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]

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?

#### 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...
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#### Find two linearly independent vectors perpendicular to vector v

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

#### 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=?

#### 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=?

#### 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=?

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...
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#### 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...
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#### 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=?

#### 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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