Question

If a = 2i + 3j + 4k, b = i + j - k and c = i - j + k, then compute a × (b × c) and verify that it is perpendicular to a.

Answer 1

Explanation:

We are given the following three vectors.

a = 2i + 3j + 4k

b = i + j - k   and

c = i - j + k

First, we need to compute the Vector Triple Product of these vectors.

Then we need to show that the Resultant of this product is perpendicular to vector a.

For this purpose, we use the concept of Dot or Scalar product of Vectors.

Kindly see the Attachment  for the detailed answer.

I hope it will help you.