Question
Just the answer please, not explanation
6. The outcome of the scalar (dot) product between the vector A and the vector B is: a. Scalar number b. tensor c. a vector d. zero 7. The outcome of the vectorial (cross) product between the vector A and the vector B is zero if at least one of the following conditions is met: a. Vector A has a magnitude equal to zero b. Vector B has a magnitude equal to zero c. Vector B is along vector A (or the angle between vector A and B is 0, 180°, or 3600) d. Each of the above are correct requirements Commutativity of two elements A and B relative to a given operation indicates that the order of operands does not affect the outcome. For example, the scalar product between the number 5 and the number 7 is commutative as 5x7-7x5-35 and "x represents a scalar multiplication". Which of the following operations is not commutative? 8. Product of two scalars a, and b. a. b. Product between a vector A and a scalar a c. Scalar product of two vectors A and B d. Vector product of two vectors A and B e. None of the above The outcome of the vector (cross) product between the vector A and the vector B is zero if at least one of the following conditions is met: 9. a. Vector A has a magnitude equal to zero b. Vector B has a magnitude equal to zero c. Vector B is along vector A (or the angle between vector A and B is 0, 180°, or 360°) Each of the above are correct requirements d.
Explanation / Answer
6. a
the scalar product of two vectors is always a scalar that is scalar number
7. d
A X B = A*B sin theta
theta is angle between the vectors so
all the opions given a,b,c are correct
8. d
commutative satisfies in scalar product of vectors but not in vector product
A.B = B.A but
A X B not equal to B X A
9. d
same as the question 7
answer is option d
