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If one vector is a multiple of another vector - that is to say, the coefficients of its components are in the same ratio, then the two vectors are parallel. That is raher a mouthful so here is an example to help illustrate it:
Suppose a and b are vectors.
Then the veccors 3a + 5b and 6a + 10b are parallel since the second of these is simply two times the first: 6a is twice 3a and 10b is twice 5b.
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When do two vectors have maximum and minimum magnitude?
Two vectors are max when parallel and min when anti-parallel.
When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?
When the vectors are parallel, i.e. both have the same direction.
How would you add two vectors that are not perpendicular or parallel?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
How do you add two vectors that aren't parallel or perpendicular?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)AnswerResolve both of the planes displacement vectors into x and y components and then add the components
When do two vectors have maximum and minimum magnitude?
Two vectors are max when parallel and min when anti-parallel.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Is it possible to find the sum of two parallel vectors using the parallelogram method?
No, it is simpler than that. Simply add the two magnitudes. The direction will be the same as the parallel vectors.
When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?
When the vectors are parallel, i.e. both have the same direction.
How would you add two vectors that are not perpendicular or parallel?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
How do you add two vectors that aren't parallel or perpendicular?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)AnswerResolve both of the planes displacement vectors into x and y components and then add the components
How to you find a vector parallel to two given vectors?
I think you meant to ask for finding a perpendicular vector, rather than parallel. If that is the case, the cross product of two non-parallel vectors will produce a vector which is perpendicular to both of them, unless they are parallel, which the cross product = 0. (a zero vector)
If AxB is zero and A and B are non zero then prove that A is parallel to B?
If A and B are vectors then AxB=ABsin(AB). If A and B are not zero then AxB is zero if and only if sin(AB)=0 meaning the angle between A and B is a multiple of 180 degrees, in other words parallel.
What is non-coplaner vectors?
They are a pair of vectors which are not parallel but whose lines of action cannot meet.
Are two vectors having equal magnitudes equqal?
Not unless they also have the same direction, i.e. they are parallel.
What is vector plane?
A vector plane is a two-dimensional space defined by a set of two non-parallel vectors. It represents all linear combinations of these vectors. In linear algebra, vector planes are used to visualize and understand relationships between vectors in space.
