Question

If vector F is equal to 4i-3j then there will be another vector perpendicular to vector F.​

Answer 1

We want to find out a vector perpendicular to the vector 4i^+3j^.

When two vectors are perpendicular to each other the angle between them is 90o and consequently their dot product is zero.

Let the vector ai^+bj^+ck^ be perpendicular to the vector 4i^+3j^, where a,b,c are real numbers.

⇒(ai^+bj^+ck^)⋅(4i^+3j^)=0.

⇒4a+3b=0⇒b=−43a.

⇒ Vectors perpendicular to the vector 4i^+3j^ are of the type

ai^−43aj^+ck^,a,c∈R.