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{:(I."The angle between the vectors" 2i....

`{:(I."The angle between the vectors" 2i. + j- k I - 4j - 2k, a. pi//6),(II. "The angle between the vectors" I + 2j - k 2i + j + k, b. pi//4),(III. "The angle between a.b if a.b if a.b.a + b are unit vector",c. pi//3),(IV. "The angle between" vec(AC) vec(BD) if A = (1.1.0) B = (1. -1.0) C = (-1.1.0) D = (0.-1.1),d.pi//2):}`

A

a,c,c,b

B

d,c,c,b

C

c,a,b,d

D

d,c,c,a

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The angle between the vectors (i + j + k) and (i- j - k) is

    A
    `"sin"^(-1) (sqrt8)/(3)`
    B
    `cos^(-1) ((2)/(3))`
    C
    `"cos"^(-1) (sqrt8)/(3)`
    D
    `sin^(-1) ((8)/(9))`

  • The sine of the angle between the vectors I + 3j - 2k, 2i - 4j - k is

    A
    `3//4`
    B
    `3//5`
    C
    `5//6`
    D
    `5//7`

  • Find the angle between the vectors (-2i + 2j) and 3i

    A
    `60^(@)`
    B
    `120^(@)`
    C
    `135^(@)`
    D
    `45^(@)`

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