Question

Consider a vector F = 4i - 3j. Another vector that is perpendicular to F is
(A) 4i + 3j (B) 6i (C) 7k (D) 3i - 4j

Pls answer this ASAP with proper reason

Answer 1

Answer:

Explanation:

for example if ai+bj is perpendicular to ci+dj then ac+bd must be 0

so by the options

answer is c since it is at an angle of 90 degrees to xyplane

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Answer 2

Explanation:

Let the perpendicular vector be P=xi+yj+zk.

Given, F=4i-3j+0k.

For perpendicular vectors, dot product is zero.

So, P•F=0

4•x-3•y+0•z=0

4x=3y

OR x=0 and y=0.

So P=(variable)k is the required vector.

The answer is option C.

Thank you