- #1
dark_omen
- 9
- 0
Okay, so I have two vectors a = <-6, 9, -3> and b = <2, -3, 1>. How can I test to see if these two vectors are parallel or not?
Thanks
Thanks
To determine if two vectors are parallel, you need to calculate the cross product of the two vectors. If the cross product is equal to zero, then the vectors are parallel. If the cross product is not equal to zero, then the vectors are not parallel.
The formula for finding the cross product of two vectors is:
(a,b,c) x (d,e,f) = (bf-ce, cd-af, ae-bd)
No, two non-zero vectors cannot be parallel. For two vectors to be parallel, they must have the same direction or be in the same line. If two vectors have different directions, they cannot be parallel.
To use dot product to determine if two vectors are parallel, calculate the dot product of the two vectors. If the dot product is equal to the product of the magnitudes of the two vectors, then the vectors are parallel. If the dot product is not equal to the product of the magnitudes of the two vectors, then the vectors are not parallel.
No, two vectors cannot be parallel if they are in different dimensions. In order for two vectors to be parallel, they must be in the same dimension (2D, 3D, etc.) and have the same direction or be in the same line.