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

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?

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

If in the word MELODRAMATIC position of the .first and the seventh letters are interchanged, similarly the positions of the second and the eighth letters are interchanged and so on till the positions of the sixth and the twelfth letters are interchanged. Then which letter will be fourth from the right end? 1) A 2) L 3) O 4) M 5) None of these

Properties Of Dot Product