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Is it possible to add three vector of equal magnitude but different directions to get a null vector?
Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.
Can two vectors of unequal magnitude add up to give the zero vector?
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
Can vectors be added to each other?
Yes, two vectors of similar kind can be added. For example we can add a distance vector with another distance vector. But we cannot add distance vector and velocity vector.
When you add two vectors together what do you get?
You get a third vector.
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.
Is it possible to add any 2 vectors?
Yes, it is possible to add any two vectors as long as they have the same number of dimensions. The result of adding two vectors is a new vector whose components are the sum of the corresponding components of the original vectors.
Is it possible to add a vector quantity?
No, you cannot directly add two vector quantities unless they are of the same type (e.g., both displacement vectors or velocity vectors). Otherwise, vector addition requires breaking down the vectors into their components and adding corresponding components together.
Vector addition allows you to add what two quantities for any number of vectors?
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Is it possible to add three vector of equal magnitude but different directions to get a null vector?
Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.
Can two vectors of unequal magnitude add up to give the zero vector?
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
Why is it impossible to add a scalar to a vector?
Scalars are single numbers, while vectors have both magnitude and direction. Adding a scalar to a vector would change the vector's magnitude but not its direction, leading to a different type of mathematical operation. It is not possible to directly add a scalar to a vector in the same way you would add two vectors of the same dimension.
Can vectors be added to each other?
Yes, two vectors of similar kind can be added. For example we can add a distance vector with another distance vector. But we cannot add distance vector and velocity vector.
When you add two vectors together what do you get?
You get a third vector.
When you add a displacement vector to another displacement vector the result is?
The result is a new displacement vector that is found by adding the components of the two original vectors.
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.
What is the direction of null vector?
There are two possible answers to this; a) It has no direction b) It points in all directions Answer a is really more true, as the notion of a null vector precludes any notion of a direction, but the correct answer is b.
What are the methods of adding and subtracting vector quantities?
Vector quantities can be added or subtracted geometrically using the head-to-tail method. To add vectors, place the tail of the second vector at the head of the first vector. The sum is the vector that connects the tail of the first vector to the head of the second vector. To subtract vectors, reverse the direction of the vector being subtracted and then add it to the other vector as usual.
