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The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are `2hati-4hatj+5hatk` and `hati-2hatj-3hatk`. Find the unit vector parallel to its diagonal. Also find the area of the parallelogram.

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The two adjacent sides of a parallelogram are 2hati-4hatj+5hatk and hati-2hatj-3hatk . Find the unit vector parallel to its diagonal. Also, find its area.

The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2hatj-3hatk . Find the unit vector parallel to its diagonal Also , find its area.

Knowledge Check

  • The area of the parallelogram whose adjacent side is hati+hatk and hati+hatj is ………….

    A
    3
    B
    `sqrt(3)`
    C
    `(3)/(2)`
    D
    `(sqrt(3))/(2)`

  • The area of the parallelogram whose diagonals are hatj+hatk and hati+hatk is ……….

    A
    `(sqrt(3))/(2)`
    B
    `(3)/(2)`
    C
    3
    D
    `sqrt(3)`

    • Similar Questions

    Explore conceptually related problems

    The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

    Vectors along the adjacent sides of parallelogram are veca = hati +2hatj +hatk and vecb = 2hati + 4hatj +hatk . Find the length of the longer diagonal of the parallelogram.

    The unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk is

    Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be :

    If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of vecA & vecB .

    The diagonals of a parallelogram are expressed as vecA=5hati05hatj+3hatk and hatB=3hatj-2hatj-hatk . Calculate the magnitude of area of this parallelogram.

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