 Hi, and welcome to our session. Let us discuss the following question. The question says, prove that scalar triple product of vector a plus vector b, vector b plus vector c, and vector c plus vector a is equal to 2 times scalar triple product of vector a, vector b, and vector c. So now, begin with the solution. Now, we will first consider the left-hand side. This is equal to scalar triple product of vector a plus vector b, vector b plus vector c, and vector c plus vector a. Now, this is equal to vector a plus vector b dot vector b plus vector c cross vector c plus vector a. Now, this is equal to vector a plus vector b cross vector c plus vector b cross vector a plus vector c cross vector c plus vector c cross vector a. This is equal to cross vector c plus vector b cross vector a. This is equal to 0 is equal to vector is equal to 0 so this is equal to left inside is equal