Scalar triple 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. (A) [vecb-vecc vecc-veca veca-vecb] (B) [veca vecb vecc] (C) 0 (D) none of these

The angle between the vector vec(A) and vec(B) is theta . Find the value of triple product vec(A).(vec(B)xxvec(A)) .

The angle between the vector vec(A) and vec(B) is theta . Find the value of triple product vec(A).(vec(B)xxvec(A)) .

The angle between the vector vec(A) and vec(B) is theta . Find the value of triple product vec(A).(vec(B)xxvec(A)) .

The angle between the vector vec(A) and vec(B) is theta . Find the value of triple product vec(A).(vec(B)xxvec(A)) .

The angle between the vector vecA and vecB is theta . The value of the triple product vecA.(vecBxxvecA) is

If veca ,vecb and vecc are three mutually orthogonal unit vectors , then the triple product [(veca+vecb+vecc,veca+vecb, vecb +vecc)] equals

Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(hati – 2hatj+3hatk) in the scalar dot product form is

Assertion: The dot product of one vector with another vector may be scalar or a vector. Reason: If the product of two vectors is a vector quantity, then product is called a dot product.

Assertion : A vector can have zero magnitude if one of its rectangular components is not zero. Reason : Scalar product of two vectors cannot be a negative quantity.