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Mechanical engineering Questions and solutions set - 17

Mechanical engineering Questions and solutions set - 17
Question:-
Option (A)
Option (B)
Option (C)
Option (D)
Correct Option:
D
Question Solution:
From vector triple product.
A × (B × C) = B (A.C) - C(A.B)


=
Question:-
Option (A)
1
Option (B)
2
Option (C)
3
Option (D)
4
Correct Option:
B
Question Solution:
Highest derivative of differential equation is 2.
Question:-
Option (A)
a unique solution
Option (B)
no solution
Option (C)
an infinite number of solutions
Option (D)
exactly two distinct solutions
Correct Option:
B
Question Solution:
The system can be written in matrix from as
=
The Augmented matrix [A|B] is given by

Performing Gauss elimination on this [A|B] as follows:

NowRank [A|B] = 2
(The number of non-zero rows in [A|B]
Rank [A] = 1
(The number of non-zero rows in [A])
Since,Rank [A|B]≠Rank[A],
The system has no solution.