if f = 4i – 3j then find prependicular vector to f and solve step by step

Talking about two perpendicular vectors,

The dot productof both is zero. Always.

a•b= ab cosα

So, the vector is 4i-3j

By the above relation we get,

(4i-3j).

(4i-3j).(ai+bj)=0

4a-3b=0

4a=3b

a/b=3/4

Therefore the vector perpendicular to given vector is 3i+4j.

Talking about two perpendicular vectors,

a•b= ab cosα

So, the vector is 4i-3j

By the above relation we get,

(4i-3j).

(4i-3j).(ai+bj)=0

4a-3b=0

4a=3b

a/b=3/4

Therefore the vector perpendicular to given vector is 3i+4j.

hope this helps you

Regards