If and then find Verify that and are perpendicular to each other.

Question

Philoid · Accepted Answer

Given and

Recall the cross product of two vectors and is

Here, we have (a₁, a₂, a₃) = (1, –2, 3) and (b₁, b₂, b₃) = (2, 3, –5)

We need to prove and are perpendicular to each other.

We know that two vectors are perpendicular if their dot product is zero.

So, we will evaluate.

But,, and are mutually perpendicular.

Thus and it is perpendicular to.