Engineering Mechanics - Data Intensity 4 Multiple Questions and Answers.




1.What is the dot product of two vectors which are having a magnitude equal to unity and are making an angle of 45°?
A. 0.707
B. -0.707
C. 1.414
D. -1.414

2.Mathematically, for two vectors A and B of any magnitude, the cross product of both, i.e. AxB = given by:
A. |A||B|sinØ
B. |A||B|
C. |A||B|cosØ
D. |A||B|sin(180°+Ø)

3.Which among the following is the distributive law for the cross product of three vectors?
A. Px(Q+S) = (PxQ) + (PxS)
B. Px(QxS) = (PxQ) + (PxS)
C. Px(QxS) = (PxQ) x (PxS)
D. Px(Q+S) = (PxQ) + (QxS)

4.Which statement is true? (For three vectors P, Q and R)
A. Associative law for cross product: (PxQ)xS = Px(QxS)
B. Associative law for cross product: (PxQ)xS ? Px(QxS)
C. Associative law for cross product: (PxQ)xS > Px(QxS)
D. Associative law for cross product: (PxQ)xS < Px(QxS)

5.Which of the following is true?
A. i x i =1
B. j x i = -j
C. k x j = -i
D. k x k = 1

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