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Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector.

It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples.

The position vector of the origin of the coordinate axes is a zero vector.

The displacement of a stationary particle from time t to time tl is zero.

The displacement of a ball thrown up and received back by the thrower is a zero vector.

The velocity vector of a stationary body is a zero vector.

The acceleration vector of a body in uniform motion is a zero vector.

When a zero vector is added to another vector , the result is the vector only.

Similarly, when a zero vector is subtracted from a vector , the result is the vector .

When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.

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Q: What is the physical significance of null vectors?
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What is the physical meaning of determinant of a matrix?

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What happens when probability value is greater than alpha value?

When probability value (p-value) is greater than alpha value, we fail to reject the null hypothesis.Probablity value is the probability of obtaining an answer equal to or more extreme than the observed value.Alpha value is the level of significance. It's the value set that determines if a result is statistically significant, or in other words, if it's not likely to have occurred simply due to chance. Alpha value is usually 5%.There are two hypotheses when we conduct a hypothesis test: the null hypothesis and the alternative hypothesis.The null hypothesis acts as a default position. It's usually an assumption that there is no relationship between two events or that a treatment has no effect. In most legal systems, the null hypothesis would be that the defendant is innocent.The alternative hypothesis is what we would assume if we reject the null hypothesis. We reject the null hypothesis when the probability value is less than the alpha value.


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Related questions

How do you add two null vectors by following vector laws of addition?

The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.


Can the sum of two vectors be equal to either of the vectors explain?

Yes, if one of the vectors is the null vector.


What is another name for the probability of observing a sample value at least as extreme as a given on under a null hypothesis?

The significance level of the observation - under the null hypothesis. The significance level of the observation - under the null hypothesis. The significance level of the observation - under the null hypothesis. The significance level of the observation - under the null hypothesis.


What is the minimum numbers of unequal vectors to result into a null vector?

Two vectors; V1 + V2=0 where V1= -V2, two opposite vectors.


Can you add zero in a null vector?

Only if your zero is a null vector. You cannot add pure numbers and vectors.


How one arises at null vector?

When you have two or more vectors that cancel each other out.


What is the possibility when magnitudes of dot and cross products are equal?

if any one of the vectors is a null vector or if A is the angle between the two vectors then tanA =1


How many vectors can be formed by joining the vertices of a given quadrilateral?

12 vectors, unless it is a parallelogram (13 if you include the null vector). If the quadrilateral is a parallelogram there will be two fewer.


What is the p-value if 0.01 is the level of significance and the mean is 18688 and the standard deviation is 15500?

In order to solve this you need the null hypothesis value also level of significance only helps you decide whether or not to reject the null hypothesis, is the p-value is above this then you do not reject the null hypothesis, if it is below you reject the null hypothesis Level of significance has nothing to do with the math


Is it possible to add three vectors of equal magnitude but different directions to get a null vectors?

yes, as long as they have 120 degrees separating them from each other, (360/3). all vectors must have total x and y component values of 0.


What is the significance of using Null Terminator in a string?

to indicate end of the string


Why is the level of significance always small?

The significance level is always small because significance levels tell you if you can reject the null-hypothesis or if you cannot reject the null-hypothesis in a hypothesis test. The thought behind this is that if your p-value, or the probability of getting a value at least as extreme as the one observed, is smaller than the significance level, then the null hypothesis can be rejected. If the significance level was larger, then statisticians would reject the accuracy of hypotheses without proper reason.