Question

If vector a = i - 2j + 3k, vector b = 2i + 3j - 5k, prove that vector a and vector (a x b) are perpendicular. 

Answer 1

Here, vector a = i - 2j + 3k and vector b = 2i + 3j - 5k

Now, vector a and vector(a x b) are perpendicular, if there scalar triple product is zero.

Hence, vector a and vector(a x b) are perpendicular.