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The vector vec c , directed along the ...

The vector ` vec c `, directed along the internal bisector of the angle between the vectors `vec c = 7 hati - 4 hatj - 4hatk and vecb = -2hati - hatj + 2 hatk " with " |vec c| = 5 sqrt(6),` is

A

`pm(5//3)(i- 7j+2k)`

B

`(5//3)(5i+5j+2k)`

C

`pm(5//3)(i+7j+2k)`

D

`(5//3)(-5i+5j+2k)`

Text Solution

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A
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Find the angle between the vectors vec A = hati + hatj + hatk and vec B =-hati - hatj + 2hatk .

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Knowledge Check

  • The vector vec c , directed along the internal bisector of the angle between the vectors vec a = 7 hati - 4 hatj - 4hatk and vecb = -2hati - hatj + 2 hatk " with " |vec c| = 5 sqrt(6), is

    A
    `(5)/(3)(hati -7hatj + 2hatk)`
    B
    `(5)/(3)(5hati +5hatj + 2hatk)`
    C
    `(5)/(3)(hati +7hatj + 2hatk)`
    D
    `(5)/(3)(-5hati +5hatj + 2hatk)`

  • If vecc is directed along the internal bisector of the angle between the vectors veca = 7hati – 4hatj – 4hatk and vecb = -2hati – hatj +2 hatk with |vecc| = 5sqrt6 , then vecc is

    A
    `5/3(hati-7hatj+2hatk)`
    B
    `5/3(5hati+5hatj+2hatk)`
    C
    `5/3(hati+7hatj+2hatk)`
    D
    `5/3(-5hati+5hatj+2hatk)`

  • The vector c directed along the internal bisector of the angle between the vectors a= 7 hati - 4hatj-4hatk and b=-2hati-hatj+2hatk will |c| = 5 sqrt6 is

    A
    `2/3(hati-7hatj+2hatk)`
    B
    `5/3(hati-7hatj+2hatk)`
    C
    `7/3(hati-7hatj+hatk)`
    D
    `2/3(hati+7hatj-2hatk)`

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