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Vectors Test - ...

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  • Question 1
    1 / -0.25

     

    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?

     

  • Question 2
    1 / -0.25

     

    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).

     

  • Question 3
    1 / -0.25

     

    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 P1and = PV of P4–PV of P1? (where PV stands for position vector)

     

  • Question 4
    1 / -0.25

     

    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?

     

  • Question 5
    1 / -0.25

     

    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?

     

  • Question 6
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    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

     

  • Question 7
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    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

     

  • Question 8
    1 / -0.25

     

    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.

     

  • Question 9
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    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.

     

  • Question 10
    1 / -0.25

     

    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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