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WorksheetsEMAGS-QUIZ-BEE
Total questions: 20
Worksheet time: 34mins
Which of the following best explains why force is considered a vector quantity?
Because it only depends on the mass of the object
Because it acts uniformly in all directions
Because it has both magnitude and direction
Because it is measured in newtonss
According to Coulomb’s Law, what happens to the electric force between two charges if the distance between them is doubled?
It becomes twice as strong
It remains the same
It becomes four times stronger
It becomes one-fourth as strong
If A = (1,2,3) and B= (3,2,1)
Find A·B
10
3i+4j+3k
15
4i+6j+3k
The vector differential operator ∇, called _______ is defined in three dimensions to be
∇ = ∂ /(∂ x) i + ∂ /(∂ y) j+ ∂ /(∂ z) k
Del Operator
Derivative
Vector
Unit Vector
Determine the separation of the two vectors A(2,4,1) and B(4,3,2)
A. √6
B. 2.45 units
Both A and B are correct
D. None of the choices
If A = (2,2,3) and B= (3,2,1),
Evaluate A x B
-4i + 7j -2k
4i - 7j -2k
6i+4j+3k
13
Find the Force on Charge Q1, 50nC, due to charge Q2, 30 nC, that is separated by 20mm.
33.75mN
33.75N
43.55mN
43.55N
Determine the Unit Vector of the Resultant of the vectors A(2,-2,1) and B(1,2,3)
-i+4j+2k
4.58
-i+4j+2k /(4.58)
i-4j+2k /(4.58)
The unit of electric charge in the International System of Units (SI)
Ampere
Coulomb
Voltage
Electron
Refers to the electrification of dissimilar objects or materials occurred due to the collision resulting in the phenomenal flow of electrons from one material to other balancing the potential difference
Piezoelectricity
Tribolectricity
Thermal Voltage
Electro-Magnetic Induction
Given that D=x^2y-z
Evaluate ∇D if x=1,y=1,z=1
2xyi+x^2j-k
2i+j-k
2xy+x^2-1
Can't Solve
Given that A=2i+4j and B=6j-4k, determine the angle between them
36
38
40
42
Evaluate
1
ye^(xy)+xz
0
e^(xy)+xz
Determine the volume of the shaded region.
10π m^3
5π m^3
10π m^2
5π m^2
7/6 pi
5/6 pi
3/6 pi
1/6 pi
Calculate the divergence of the vector field F = (3x^2, 2y, z^3) at the point (1, 1, 1).
6
8
10
12
What is the cross product of the vectors C(1,0,2) and D(2,3,0)?
6i + 4j - 3k
6i - 4j + 3k
-6i + 4j + 3k
-6i - 4j + 3k
What does it mean when the dot product of two vectors is zero?
The vectors are in the same direction
The vectors have equal magnitudes
The vectors are perpendicular to each other
The vectors are parallel to each other
What is the result of the cross product of two parallel vectors?
Zero vector
Unit vector
Vector in the same direction
Magnitude equal to the product of their magnitudes
What is the significance of the gradient of a scalar field?
It is always a constant value
It indicates the direction of maximum increase of the field
It represents the total change in the field
It shows the average value of the field
