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Write the expression for the area of the...

Write the expression for the area of the parallelogram having ` vec a\ a n d\ vec b` as its diagonals.

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If vec p and vec q are unit vectors forming an angle of 30^(0); find the area of the parallelogram having vec a=vec p+2vec q and vec b=2vec p+vec q is its diagonals.

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Knowledge Check

  • A class XII student appearing for a competitive examination was asked to attempt the following questions. Let vec(a),vec(b) and vec( c) be theree non zero vectors. The area of the parallelogram formed by vec(a) and vec(b) as diagonals is

    A
    70
    B
    35
    C
    `(sqrt(70))/(2)`
    D
    `sqrt(70)`
  • The area of the parallelogram with vec(a)andvec(b) as adjacent sides is 20 sq. units. Then the area of the parallelogram having 7vec(a)+5vec(b)and8vec(a)+11vec(b) as adjacent sides is

    A
    2960 sq. units
    B
    740 sq. units
    C
    1340 sq. units
    D
    3400 sq. units
  • Two vectors vec P and vec Q of the same type with tails at a point O are inclined at angle theta . The diagonal of the parallelogram, drawn with vec P and vec Q as adjacent sides, represents their resultant. Then the area of the parallelogram is given by

    A
    `vec P cdot vec Q`
    B
    `vec P + vec Q`
    C
    `vec P xx vec Q`
    D
    `|vec P xx vec Q|`
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