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If a = I + j + k, b = 2i - 3j + k then a...

If a = I + j + k, b = 2i - 3j + k then `a xx b` is

A

4i + j - 5k

B

4i - j + 5k

C

4i + j + 5k

D

4i - j - 5k

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    25i + 35j - 55k
    B
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    C
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    D
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  • If a = 2i - j + k, b = 3i + 4j - k then |a xx b| =

    A
    9
    B
    `3 sqt(10)`
    C
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    `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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