Question

Find whether the vectors are parallel, (-2,1,-1) and (0,3,1):

A. Parallel

B. Collinearly parallel

C. Not parallel

D. Data insufficient

​

Answer 1

Answer:

Collinearly parallel........

Answer 2

The vectors are:

C. Not parallel

• To figure out if vectors are parallel, non parallel or collinearly parallel we need to either compare their graphical representation or do a dot/cross product.
• If dot multiple of two vectors elucidates zero they are assumed to be  perpendicular to each other.
• If cross multiple of two vectors elucidates zero they are assumed to be  parallel to each other.
• Here, in this case we can clearly see that the answer of the cross multiple of the vectors (-2,1,-1) and (0,3,1) is not nil. Thus they are assumed to be not parallel to one another.