Question

The vectors A = 2i − 3j + k and B = i − j + k are
a) mutually perpendicular b) parallel to each other
c) cannot say d) none of these

Answer 1

✴Given :

The vectors A = 2i − 3j + k and B = i − j + k

✴To find:

• whether these vectors are mutually perpendicular or parallel

✴Solution:

A = 2i − 3j + k

B = i − j + k

● Two vectors are perpendicular when their dot product equals to 0.

We can dot product by the following method;

(a1,b1) and (a2,b2).

Dot product = a î + b j + c k

A = 0

B= 1

when u multiply A and B we get 0* 1 => 0

Therefore A and B are perpendicular to each other.

Option (a) is the answer✔

They are mutually perpendicular!

Hope this helps you♡