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[I - j j - k k - i] =...

[I - j j - k k - i] =

A

0

B

1

C

`-1`

D

2

Text Solution

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The correct Answer is:
A
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The volume of the parallelopiped with edges 2i - 4j + 5k, I - j + k, 3i - 5j + 2k is -8

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Knowledge Check

  • Arrange the following in the descending order of magnitude (A) [I xx j j xx k k xx i] (B) [I + jj + k k + i] (C ) (I xx j) (j xx k) (D) (K xx j) (k xx j)

    A
    B,A,C,D
    B
    B,A,D,C
    C
    D,C,B,A
    D
    B,C,A,D

  • The shortest distance between the line r = 3i + 5j + 7k + lambda (I + 2j + k) and r = I - j - k + mu (7i - 6j + k) is

    A
    `(16)/(5sqrt(5))`
    B
    `(26)/(5 sqrt(5))`
    C
    `(36)/(5 sqrt(5))`
    D
    `(46)/(5 sqrt(5))`

  • {:(I."If" a = 2i - 3j -k. b = i + 4j - 2k "then" (a + b) xx (a - b), a. 42 i + 14 j - 21 k),(II. "If" a = 3i - j - 2k. b - 2i + 3j + k "then" (a + 2b) xx (2a - b), b. -5i + 5j + 5k),(III. "If" a = i + 2j - 3k. b = 2i + j + k "then" a xx b, c. -25i + 35j - 55 k),(IV. "If" a = 2i + 3j + 6k. b = 3i - 6j + 2k "then" a xx b, d. -20i - 6j - 22k):}

    A
    a,c,d,b
    B
    b,a,d,c
    C
    a,d,c,b
    D
    d,c,b,a

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    {:(I."The points" i + j + k. 4i + 3j "and" 10 i + 7j - 2k "are", a. a xx b = 7c),(II. "The vectors" 5i + 5j + 7k. 7i - 8j + k "and" i - 20 j - 5k "are",b. "collincar"),(III. a = 2i + 3j + 6k. b = 3i - 6j + 2k, c. "non-coplanar"),(IV. "The Points" 2i - j + k. i - 3j = 5k "and" 3i - 4j - 4k "are", d."vertices of equilateral triangle"),(, e. "vertices of right angled triangle"):}

    If a = 2i + j - 3k, b = I - 2j + k, c -I + j - 4k, d = I + j + k then (a xx b) xx (c xx d) =

    The volume of the parallelopiped whose coterminal edges are 2i - 3j + 4k, I + 2j - 2k, 3i - j + k is

    If a = i- 2j + k, b = 2i + j - k, c = 4i + 4j + 3k then |(a xx b) xx c| =

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