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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.
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)
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.
Do two parallel lines determine a plane?
No.
How do you add 2 vectors?
Vector addition is commutative so you can start with either vector.The graphical solutions are quite simple.If the vectors are parallel, then their addition is the sum of the two vectors and acts in the same direction.If the vectors are anti-parallel, then their addition is the difference of the two vectors and acts in the direction of the larger vector.If the vectors are not parallel, draw them with their tails together. The complete the parallelogram using these as two of the sides. The addition of the vectors is the diagonal through the first vertex.Otherwise, (and more accurately),if you have vectors a and b inclined at angles p and q to the positive direction of the x axis, then the component of their sum along thehorizontal direction is s = a*cos(p) + b*cos(q)and the vertical component is t = a*sin(p) + b*sin(q)The magnitude of the resultant is sqrt(s2 + t2) and its direction is arctan(t/s) within the appropriate range.
Can three parallel vectors of uneven magnitude add to zero?
Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0
