Question

vector i+j and -i-j are
a) parallel
b) scalar multiple of each other
c) perpendicular
d) unit vectors

Answer 1

Okay, so think of i and j as units of x and y. On a graph paper, they would essentially represent the lines that the graph paper is made of

So i + j => 1x and 1y

-i -j => -1x and -1y

We can go ahead and plot this

Answer 2

Quick question, can multiple letters be chosen, or can you pick only 1?

Answer 3

if a vector A=-A
then they coincide with different direction
in other ways they parallel
the vector <-1,-1> is -<1,1>

Answer 4

@xapproachesinfinity Aren't they also scalar multiples of one another and unit vectors?

Answer 5

Or do I have some fundamental misunderstanding here

Answer 6

well if B=2A for example that also implies they are parallel
but you do have a point that they scalar multiple of each other as well

Answer 7

Then what will be the answer ??

Answer 8

Can you pick more than one option ?

Answer 9

No.. It is a MCQ

Answer 10

as per definition both options "a" and "b" are correct, but sometimes people call i+j and -i-i as anti-parallel vectors. so guess i would pick option b

Answer 11

Ok. Thanks..

Answer 12

yw