Can Two Vectors Of Different Magnitudes Add To Zero?

What is the minimum number of vectors with unequal magnitudes?

threeAssertion: 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..

What is the minimum number of unequal vectors to result into a null vector explain with diagram?

What is the minimum number of unequal vectors to result into a null vector? The answer is 1 (or 0), or 2, or 3. First, there is the trivial solution: the null vector by itself clearly “sums” to the null vector.

Can two vectors with unequal lengths ever add 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 you find two vectors with different lengths?

If the two vectors have different lengths, then the vector sum is not equal to zero. Because the length of a vector represents its magnitude. So, if two vectors have different magnitudes and if the vectors can sum up to not equal to zero. Therefore, No, we cannot sum two vectors with different lengths.

Can three vectors of different magnitudes add to zero?

If any three vectors add up to zero, they must form a triangle in which each vertex is the head of one vector and tail of other vector. Since a scalene triangle exists, three unequal vectors can add up to zero. … magnitude of sum of two vectors must be equal to the magnitude of third.

What is the minimum number of vectors with unequal magnitudes whose vector sum can be zero?

threeWe know that only triangle is closed figure of minimum side, Sides of triangle represent vector, So the minimum number of unequal vectors whose vector sum can be zero is three.

Can a vector have a component greater than its magnitude?

The components of a vector can never have a magnitude greater than the vector itself. This can be seen by using Pythagorean’s Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector.

What magnitude is not possible when a vector?

Answer: Magnitude cannot be negative. It is the length of the vector which does not have a direction (positive or negative). In the formula, the values inside the summation are squared, which makes them positive.

What vector must be added to the sum of two vectors 2i J 3k?

Answer. let A=2i+j+3k and B=3i-2j-2k and A+B=C. so, C= (2+3)i+(1-2)j+(3-2)k ie, 5i-j+k. Now, let D be added to vector C such that it gives k, which is unit vector along Z axis.

Is it possible to add two vectors of unequal magnitudes and get zero Is it possible to add three vectors of equal magnitudes and get zero?

No, it is not possible to obtain zero by adding two vectors of unequal magnitudes. … Yes, it is possible to add three vectors of equal magnitudes and get zero. Lets take three vectors of equal magnitudes →A, →B and →C, given these three vectors make an angle of 120° with each other.

Can two nonzero perpendicular vectors be added together so their sum is zero?

Can 2 non-zero perpendicular vectors be added together so that their sum is zero? ANSWER: No. The sum of two perpendicular non-zero vectors can never be zero.

What lengths are needed for three vectors to have a vector sum of zero?

What length restrictions are required for three vectors to have a vector sum of zero? Explain your reasoning. No The required length restriction for three vectors is the sum of the lengths of any two of them must be greater than the third one. This is referred to as the triangle inequality.

What is maximum number of components into which a vector can be split?

A vector can be split into infinite components (but only 3 orthogonal ones)

Can a scalar product of two vectors be negative?

Yes. The scalar product can be thought of as a projection of one vector onto another. If they are facing in different directions, that is, if the angle between them is more than 90 degrees, this projection will be negative. … What is the cross product of two vectors?

What is the significance of null vector?

Once you do, a null vector simply means that it is a vector with zero magnitude. For instance, if the vector you are interested in is the position vector , and I tell you that to go null-vector away from , it should convey the meaning: you should go in no particular direction at all.

What is the least number of nonzero vectors than can be added to yield a zero resultant?

3Minimum 3 non zero vectors are required to make the resultant zero. This is because the 3 vectors can form a triangle and the resultant will be zero.

Can we multiply a vector by a real number?

Multiplication of Vectors by Real Numbers – Multiplication of a vector A with a positive number k only changes the magnitude of the vector keeping its direction unchanged.

Does it make sense to say that a vector is negative?

Yes, it makes sense to say that a vector is negative. The qualifier “negative” indicates the direction of a vector and that is perfectly fine since a vector is fully defined by both its size and its direction. This is particularly the case when there is either an assumed or given direction chosen as positive.