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The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are i+2j+3k and 2i-j+k. Its area is

A

`3sqrt5`

B

`5sqrt3`

C

`sqrt15`

D

`(5sqrt3)2`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Two adjacent sides of a parallelogram ABCD are 2i+4j-5k and i+2j+3k then the value of |vec AC xx vec BD|=

    A
    `20sqrt5`
    B
    `22sqrt5`
    C
    `24sqrt5`
    D
    `26sqrt5`

  • The position vectors of the vertices of a triangle are 2i-j+k, i-3j-5k and 3i-4j-4k then it is

    A
    equilateral triangle
    B
    isosceles triangle
    C
    right anglesioscles triangle
    D
    right angled triangle

  • If i+2j+3k, 3i+2j+k are sides of parallelogram, then a unit vector parallel to one of the diagonals

    A
    `1/sqrt3(i+j+k)`
    B
    `1/sqrt3(i-j+k)`
    C
    `1/sqrt3(i+j-k)`
    D
    `1/sqrt3 (-i+j+k)`

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