6. The outcome of the scalar (dot) product between the vector A and the vector B

Question

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 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: 7. 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°) 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. a. Product of two scalars a, and b. 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.scalar product is a scalar number.

Ans(a)

7. A x B = AB sin(theta) = 0

A = 0 Or B=0, theta = 0

ans(d)

8.(d)

9.same as 7.

ans(d)

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