Test: Vectors- Case Based Type Questions - Commerce MCQ
20 Questions MCQ Test - Test: Vectors- Case Based Type Questions
Direction: Read the following text and answer the following questions on the basis of the same:
The cross product of two vectors gives a vector perpendicular to the plane containing the vectors.
Q. If 
are non-zero vectors, then 
are non-zero vectors, then 
Direction: Read the following text and answer the following questions on the basis of the same:
The cross product of two vectors gives a vector perpendicular to the plane containing the vectors.
Q. 
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Direction: Read the following text and answer the following questions on the basis of the same:
The cross product of two vectors gives a vector perpendicular to the plane containing the vectors.
Q. 
Direction: Read the following text and answer the following questions on the basis of the same:
The cross product of two vectors gives a vector perpendicular to the plane containing the vectors.
Q. The angle between 
Direction: Read the following text and answer the following questions on the basis of the same:
The cross product of two vectors gives a vector perpendicular to the plane containing the vectors.
Q. Area of parallelogram whose adjacent sides are represented by the vectors 
and 
sq. units.
Direction: Read the following text and answer the following questions on the basis of the same:
A class XII student appearing for a competitive examination was asked to attempt the following questions.
Let 
be three non zero vectors.
Q. Let 
be unit vectors such that 
and angle between 
is π/6 then 
Direction: Read the following text and answer the following questions on the basis of the same:
A class XII student appearing for a competitive examination was asked to attempt the following questions.
Let 
be three non zero vectors.
Q. 
then evaluate 
Direction: Read the following text and answer the following questions on the basis of the same:
A class XII student appearing for a competitive examination was asked to attempt the following questions.
Let 
be three non zero vectors.
Q. 
are such that 
then
Direction: Read the following text and answer the following questions on the basis of the same:
A class XII student appearing for a competitive examination was asked to attempt the following questions.
Let 
be three non zero vectors.
Q. 
are unit vectors and θ be the angle between them then 
Direction: Read the following text and answer the following questions on the basis of the same:
Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P1(6, 8, 4), P2(21, 8, 4), P3(21, 16, 10) and P4(6, 16, 10)
Q. What are the components to the vector 
perpendicular to 
and the surface of the roof?
Direction: Read the following text and answer the following questions on the basis of the same:
Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P1(6, 8, 4), P2(21, 8, 4), P3(21, 16, 10) and P4(6, 16, 10)
Q. Write the vector in standard notation with 
and 
are the unit vectors along the three axes).
Direction: Read the following text and answer the following questions on the basis of the same:
Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P1(6, 8, 4), P2(21, 8, 4), P3(21, 16, 10) and P4(6, 16, 10)
Q. What are the components to the two edge vectors defined by 
= PV of P2 – PV of P1 and 
= PV of P4 – PV of P1? (where PV stands for position vector)
Direction: Read the following text and answer the following questions on the basis of the same:
Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P1(6, 8, 4), P2(21, 8, 4), P3(21, 16, 10) and P4(6, 16, 10)
Q. What are the magnitudes of the vectors 
and in what units?
Direction: Read the following text and answer the following questions on the basis of the same:
Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P1(6, 8, 4), P2(21, 8, 4), P3(21, 16, 10) and P4(6, 16, 10)
Q. What is the magnitude of 
and in what units?
Direction: Read the following text and answer the following questions on the basis of the same:
ABCD is a parallelogram whose adjacent sides are represented by the vectors 
Three of its vertices are A(1, 2, 3), B(2, 0, 5) and D(–1, 4, 1).
Q. The diagonal 
Direction: Read the following text and answer the following questions on the basis of the same:
ABCD is a parallelogram whose adjacent sides are represented by the vectors 
Three of its vertices are A(1, 2, 3), B(2, 0, 5) and D(–1, 4, 1).
Q. The vector 
Direction: Read the following text and answer the following questions on the basis of the same:
ABCD is a parallelogram whose adjacent sides are represented by the vectors 
Three of its vertices are A(1, 2, 3), B(2, 0, 5) and D(–1, 4, 1).
Q. Area of ABCD = _______ sq. units.
Direction: Read the following text and answer the following questions on the basis of the same:
ABCD is a parallelogram whose adjacent sides are represented by the vectors 
Three of its vertices are A(1, 2, 3), B(2, 0, 5) and D(–1, 4, 1).
Q. The length of side CD is _______ units.
Direction: Read the following text and answer the following questions on the basis of the same:
ABCD is a parallelogram whose adjacent sides are represented by the vectors 
Three of its vertices are A(1, 2, 3), B(2, 0, 5) and D(–1, 4, 1).
Q. The diagonal 
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