Property 1: Position of the dot and cross can be interchanged without altering the product.

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. If veca,vecb,vecc are coplanar then [vecb+vecc vecc+veca veca+vecb=] (A) 1 (B) -1 (C) 0 (D) none of these

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. [veca+vecb vecb+vecc vecc+veca] is equal to (A) 2[veca vecb vecc] (B) 3[veca,vecb,vecc] (C) [veca,vecb,vecc] (D) 0

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. (A) [vecb-vecc vecc-veca veca-vecb] (B) [veca vecb vecc] (C) 0 (D) none of these

In how many ways the letters of the word “ARRANGE” can be arranged without altering the relative positions of vowels & consonants ?

The position of the first and the fifth digits of the number 83146759 are interchanged, similarly the position of the second and sixth digits are interchanged, and so which of the following will be the third digits from the right end after the rearrangement? 1)3 2)1 3)6 4)7 5)None of these

If the positions of the letters in the word ORGANISE are rearranged in such a way that the position of the first and the second letter are interchanged, similarly the position of the third and the fourth letters are interchanged and so on, which of the given will he the third from the right end after the rearrangement? 1) N 2) I 3) R 4) A 5) None of these

If the position of the first and the fifth digits of the number 53146872 are interchanged, similarly the position of the second and the sixth are interchanged, and so which of the following will be the fifty digits from the right end after the rearrangement? 1)2 2)4 3)6 4)1 5)None of these