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www.onlinemathlearning.com/parallel-vectors.html

Vectors are parallel if they have the same direction. Both components of one vector must be in the same ratio to the corresponding components of the parallel vector. Example: How to define parallel vectors? Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = cv, then u and v are ...

math.stackexchange.com/.../1407132/use-the-cross-product-to-find-a-parallel-vector

Use the cross product to find a parallel vector. Ask Question 2 $\begingroup$ I'm confused by this exercise here : Using the cross product, for which value(s) of t the vectors w(1,t,-2) and r(-3,1,6) will be parallel. I know that if I use the cross product of two vectors, I will get a resulting perpenticular vector. However, how to you find a ...

math.stackexchange.com/questions/1117757/find-a-vector-with-certain-magnitude...

I've started out with vectors and am still touching the surface of the topic, however I'm having an issue with a relatively simple question. Find a vector of magnitude 27 units which is parallel t...

mathworld.wolfram.com/ParallelVectors.html

Two vectors u and v are parallel if their cross product is zero, i.e., uxv=0.

www.reference.com/math/dot-product-parallel-vectors-189f6c6b2566ea90

The dot product of two parallel vectors is equal to the algebraic multiplication of the magnitudes of both vectors. If the two vectors are in the same direction, then the dot product is positive. If they are in the opposite direction, then the dot product is negative.

www.physicsforums.com/threads/find-vectors-that-are-perpendicular-parallel.710511

You got stuck here because for any vector v there are infinitely many vectors whose dot product with v is v. Take any vector u.You can represent it as a sum of t and n, which are orthogonal to each other, and t is parallel with v and n is perpendicular to v.Clearly u.v = t.v.So if t is a unit vector, then you get the desired result no matter what its n component is.

www.quora.com/How-do-I-prove-that-two-vectors-are-parallel-or-not-Explain-with...

The answers about using the cross product are correct, but needlessly complicated. If two vectors are parallel, then one of them will be a multiple of the other. So divide each one by its magnitude to get a unit vector. If they're parallel, the t...

www.varsitytutors.com/.../determine-if-two-vectors-are-parallel-or-perpendicular

Two vectors are perpendicular if their dot product is zero, and parallel if their dot product is 1. Take the dot product of our two vectors to find the answer: Using our given vectors: Thus our two vectors are perpendicular.