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In the parallelogram if bar(AB)=bar(a) a...

In the parallelogram if `bar(AB)=bar(a) and bar(AD)=bar(d)` then find `bar(BD)`.

Text Solution

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The correct Answer is:
`bar(BD)=bar(d)-bar(a)`
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Knowledge Check

  • OACB is a parallelogram with bar(OC)=bar(a), bar(AB)=bar(b)" then "bar(OA)=

    A
    `(bar(a)+bar(b))/2`
    B
    `bar(a)+bar(b)`
    C
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    D
    `bar(a)-bar(b)`

  • If ABCD is a parallelogram such that bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(AC), bar(BD) are

    A
    `bar(a)+bar(b), bar(b)-bar(a)`
    B
    `bar(a)+bar(b), bar(a)-bar(b)`
    C
    `bar(a)+bar(b),-bar(a)-bar(b)`
    D
    both 1 and 2

  • In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

    A
    1)`4bar(AB). ("projection of " bar(AD) " on " bar(AB))`
    B
    2)`2bar(AB). ("projection of " bar(AD) " on " bar(AB))`
    C
    3)`bar(AC). ("projection of " bar(BD) " on " bar(AC))`
    D
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