Question

Find a vector which is parallel and perpendicular to both -i-j and 2i - 5j

Answer 1

Answer:

Here is your answer.

Step-by-step explanation:

We know that a × b is a  vector perpendicular to the plane of a and b

Therefore, unit vector perpendicular to the plane of a and b is a×b/|a×b|

Now a × b  = (- i - j) × (2i – 5j)

= 5i - 2j

Unit vector parallel to a × b

= (a×b)/(|a×b|)

= 5i - 2j/√21