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Area of a parallelogram =...

Area of a parallelogram =_____

A

`1/2` x base x corresponding altitude

B

`1/2` x the product the diagonals

C

base x corresponding altitude

D

`1/2` x the product of adjacent sides

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

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

    A
    `sqrt(3)`
    B
    `(3)/(2)`
    C
    `(sqrt(3))/(2)`
    D
    0

  • 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)`

  • 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)`

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    Show that area of the parallelogram whose diagonals are given by vec(a) and vec(b) is (1)/(2).|bar(a)xx bar(b)| . Also, find the area of the parallelogram, whose diagonals are 2 bar(i)-bar(j)+bar(k) and bar(i)+3bar(j)-bar(k) .

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