Can Two Vectors Of Unequal Magnitude Ever Sum To Zero?

by | Last updated on January 24, 2024

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Can two of unequal magnitude ever sum to zero?

No. The sum of two vectors can only be zero if they are in opposite directions and have the same magnitude

.

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Can you add two unequal vectors and get zero?


No it is not possible to obtain zero by adding two vectors of unequal magnitudes

. Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction.

Can three vectors of unequal magnitude ever sum to zero?

Solution : No . Two unequal vectors can never give zero vector by addition . But

three unequal vectors when added may give zero vector

. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

What of two vectors of unequal magnitudes may be zero?

Answer: No,

it is not possible to obtain zero by adding two vectors of unequal magnitudes

.

Can four vectors of unequal magnitude sum to zero?

Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero.

Two vectors of unequal magnitude can never sum to zero

. If they point along the same line, since their magnitudes are different, the sum will not be zero.

Can a vector have a zero magnitude?


Zero Vector or null vector is a vector which has zero magnitude and an arbitrary direction

. It is represented by 0 . If a vector is multiplied by zero, the result is a zero vector.

Can you add three vectors of unequal?

Answer:

Yes we can add three unit vectors to get a unit vector

.

Can two vectors with different magnitudes be added Why?


No, two vectors with different magnitude can never give a zero resultant

. This is because the effect of vectors cancels out only when they act in the opposite direction and have the same magnitude.

Under what condition the three vectors Cannot give zero resultant?

Solution : (i)

When three vectors are not lying in one plance

, they can bot produce zero resultant.

Can three vectors not in one plane give a zero resultant can four vectors do?

Solution :

Three vectors which are not in one plane can not givee zero resultant

. This is because resultant of two vectors ( in a plane ) line in their plane. If can not balance the third vector which is in a differet plane.
The resultant of four coplanar vectors can be zero.

How many vectors of unequal magnitude are added such that resultant is zero?

we can take

more than 2

vectors of unequal magnitude for the resultant to be zero.. so the minimum no. of vectors of unequal magnitude for the resultant to be zero and maximum is infinity.

What is the minimum number of unequal vectors that can give zero?

From triangle law of vectors minimum

three

vectors are required to give zero resultant.

What is the minimum number of vectors of unequal magnitude required to produce a zero resultant?

Assertion: The minimum number of vectors of unequal magnitude required to produce zero resultant is

three

.
Reason: Three vectors of unequal magnitude which can be represented by the three sides of a triangle taken in order, produce zero resultant.

Can we combine three vectors of unequal magnitude to get a zero resultant How about three vectors of equal magnitude?

Is it possible to add three vectors of equal magnitudes and get zero? Answer: Two vectors of unequal magnitudes cannot be added to get zero.

Three vectors of equal magnitudes can be added to get zero

. Explanation: While adding two vectors we get minimum resultant value if their directions are opposite.

Can the magnitude of resultant of two vectors of unequal magnitude be equal to the sum of their magnitudes if yes then what should be the angle between the vectors?

The sub and difference of two vectors will not have the same direction, when the two vectors have unequal magnitudes but in the same direction. Because the resultant of of sum of two vectors will be the opposite of the resultant of subtraction of two vectors. Hence

B is wrong

.

Can we add two vectors of different dimensions?

Two vectors of the same size (i.e. number of elements) can be added: this adds the corresponding elements to create a new vector of the same size.

You can't add two vectors of different sizes

.

Can a vector have nonzero magnitude of a component is zero if no why not?

Solution :

A vector with zero magnitude cannot have non-zero components

. Because magnitude of given vector `bar(V) = sqrt(V_(x)^(2) + V_(y)^(2))` must be zero .

Can a vector have a component equal to 0 and still have a non zero magnitude?


Yes, a vector can have a component equal to zero and still have a nonzero magnitude.

What happens when you add a vector to a zero vector?

A zero vector, also known as a null vector, is a vector that has an arbitrary direction and has no magnitude. When a vector is added to a zero vector,

the resulting vector is the same as the vector that was added to the zero vector

.

Which of the following may represent the magnitude of three vectors adding to zero?


(-1) + (-1) + (+2

)=0.

How can three vectors be combined to give a zero resultant?

For the resultant of three vectors to be zero,

resultant of two should be equal and opposite to the third

. Here, since the three vectors do not lie in the same plane, the resultant of the two cannot be in opposite direction of the third, hence resultant can not be zero.

Can three vectors of equal magnitude be added to give a vector of same magnitude explain?


Yes it's possible

. Just take three vectors of equal magnitude and making an angle of 120° to each other then on addition we get 0 vector.

Can two different vectors have a resultant vector of zero?


Two vectors cannot give a resultant zero

. A third vector should be present in a direction opposite to the resultant of the two vectors to get a resultant zero. The Triangle Law of vector addition states that a minimum of three vectors are required to obtain a zero resultant.

When two vectors add to give a resultant of zero how must they be related?

Answer and Explanation: If the sum of two vectors is zero, then

the magnitudes are equal, but the vectors point in the opposite direction

.

Can two vectors of the same magnitude at giving zero resultant vector if yes under what condition?

Two vectors of different magnitudes can be combined but don't give a zero resultant.

Two vectors at opposite directions give a zero resultant if their magnitudes are equal

.

Can the resultant of three unequal forces be equal to zero?

Thus

three unequal vectors on an object can result in 0

. Yes in case of b two vectors combine with each other to give a resultant vector which is equal and opposite to third vector.

Can the sum of three vectors be equal to zero?


Resultant of three vectors will be zero if all of the below conditions are applicable: 1. All 3 vectors are coplanar

.

In which of the following cases the resultant of three forces can be equal to zero?

for the vectors to have a zero resultant,

they must form a complete polygon

. in this case a complete triangle must be formed and for a triangle to be formed, sum of any 2 sides is greater than the third one.

Can three vectors in one plane give a zero resultant?

Can 3 non coplanar vectors give zero resultant?

Solution :

No, three non-coplanar vectors cannot ad up to given zero resultant

because for non-coplanar vectors the resultant of the two vectors will not lie in the plane of third vector , and so the resultant cannot cancel the third vector to given null vector .

Can three vectors not lying in a plane add up to give a null vector Why?

(e) Three vectors not lying in a plane can never add up to give a null vector. Answer: (a) True.

The magnitude of a vector is a pure number and has no direction

.

What is the number of unequal forces whose the resultant will be zero?

Can two vectors of unequal magnitude add up to give the zero vector can three unequal vectors If you answered yes under what conditions?

Solution : No . Two unequal vectors can never give zero vector by addition . But

three unequal vectors when added may give zero vector

.

Which can give zero resultant are?

Solution(By Examveda Team)


The minimum number of vectors of unequal magnitude required to produce zero resultant is three

.

What is minimum number of unequal forces?

If the forces are unequal then we need atleast

three

forces to keep the particle in equilibrium so that resultant of any two will be equal and opposite to the third one and the particle will remain in equilibrium.

Is it possible to combine a two equals B two unequal vectors to give a zero resultant prove your answer and provide examples?

Solution :

No , two vectors of different magnitude cannot give a zero resultant

. But three vectors can , provided one vector is equal and opposite to the resultant of the other two vectors .

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.