50 questions
Find the dot product of the given vectors:
92
0
-92
-120
If the dot product of two vectors is equal to zero, then what do we know about the two vectors?
They are parallel.
They are perpendicular.
They are unit vectors.
They are both zero vectors.
Find the angle between vectors (1,3) and (2,-5).
40.2°
49.7°
139.7°
92.6°
When finding the projection of vector u = (3,2), onto vector v =(5,-5) , which diagram illustrates this situation?
The vector projection of u=(3,2) onto vector v=(5,-5) is
(-½,½)
(½,½)
(½,-½)
(-½,-½)
The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is
8
40
-8
-16
if vector u and vector v are parallel then the projection of u on v is
0
-1
u
v
Find direction angle α for the vector (-8, 3)
159.4°
200.6°
110.6°
249.4°
Find direction angle β for the vector (-8, 3)
58.4°
60.9°
69.4°
88.7°
Find the cross product of (3,4,7) and (4,9,2).
(-55, 22, -9)
(-55, -22, -9)
(71,34, 63)
(-71, -34, -630
If a matrix has 13 elements then it’s possible order is-
1 by 3
3 by 1
1 by 13
none
Find the value of x,y,z if =(x/5 + y/z X 2/xy)=(6/5 2/8)
4,2,0
1,2,3
3,0,5
none
If A is a square matrix of m by n then
m=n
m>n
m<n
none
The no. of possible matrices of order 3 by 3 with each entry 0 or 1 is
27
18
81
512
If transpose of each matrix is equal to itself then it is
Skew Symmetric
Symmetric
Rectangular
none
Which is equal to AA’?
Null Matrix
Identity Matrix
Upper Triangular
None
Which matrix has it’s diagonal elements always zero?
Diagonal Matrix
Scalar Matrix
Skew Symmetric Matrix
Identity
Which is not always a square matrix?
Scalar Matrix
diagonal
Null
Identity
Which is not a type of Matrix?
Triangular
Scalar
Square
None
(AB)’ is equal to-
BA
A’B’
B’A’
None
Product of Matrices is always-
Associative
Commutative
Both
None
If A is symmetric then B’AB is always
Skew Symmetric
Square
Symmetric
None
If A is Skew Symmetric then B’AB is always-
Skew Symmetric
Square
Symmetric
none
If A and B are symmetric Matrices then AB-BA is -
Skew Symmetric
Square
Symmetric
none
If two matrices have same order then these can be-
Added
Subtracted
Multiplied
All of the options
By using Elementary transformation we can find
Inverse
Symmetric matrix
Scalar Matrix
None
Inverse of the matrix A = = is
Inverse can not exist of a matrix if it is-
Square
Non singular
Singular
None
A is any matrix and I is an Identity matrix then AI =
A
I
O
None
√-4
-2
-2i
2
2i
How do you write a complex number?
a-bi
a+bi
ai+b
ai-b
(-7+6i)2
49+36i
85
13-84i
13+84i
What is the P( not purple) on this spinner?
2/5
1/5
4/5
3/5