Question

Consider a vector F = 4 i – 3 j. Another vector that is perpendicular to F is(a) 4 i + 3 j(b) 6 i(c) 7 k(d) 3 i – 4 j

Answer 1

A vector ā is perpendicular to a vector ē, if their dot product is zero:

ā.ē = 0.

Here, the only option that gives the dot product to be zero is (c) 7k.

Note that such questions are option based, since there are infinite vectors perpendicular to any given vector.

Answer 2

The only option is c.